6957182340 has 168 divisors, whose sum is σ = 23194465560. Its totient is φ = 1746054144.

The previous prime is 6957182339. The next prime is 6957182341. The reversal of 6957182340 is 432817596.

6957182340 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6957182339) and next prime (6957182341).

It can be written as a sum of positive squares in 4 ways, for example, as 457275456 + 6499906884 = 21384^2 + 80622^2 .

It is a super-2 number, since 2×6957182340² = 96804772224015751200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

6957182340 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (6957182341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 233826 + ... + 261894.

It is an arithmetic number, because the mean of its divisors is an integer number (138062295).

It is a 1-persistent number, because it is pandigital, but 2⋅6957182340 = 13914364680 is not.

Almost surely, 2^6957182340 is an apocalyptic number.

6957182340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6957182340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11597232780).

6957182340 is an abundant number, since it is smaller than the sum of its proper divisors (16237283220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6957182340 is a wasteful number, since it uses less digits than its factorization.

6957182340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28113 (or 28096 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6957182340 is about 83409.7256919120. The cubic root of 6957182340 is about 1909.0228584649.

The spelling of 6957182340 in words is "six billion, nine hundred fifty-seven million, one hundred eighty-two thousand, three hundred forty".