6957325440 has 256 divisors, whose sum is σ = 26536809600. Its totient is φ = 1712517120.

The previous prime is 6957325411. The next prime is 6957325457. The reversal of 6957325440 is 445237596.

It is a super-3 number, since 3×6957325440³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209155 + ... + 240125.

Almost surely, 2^6957325440 is an apocalyptic number.

6957325440 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 6957325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13268404800).

6957325440 is an abundant number, since it is smaller than the sum of its proper divisors (19579484160).

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

6957325440 is a wasteful number, since it uses less digits than its factorization.

6957325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31012 (or 30994 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 6957325440 is about 83410.5835011361. The cubic root of 6957325440 is about 1909.0359470633.

The spelling of 6957325440 in words is "six billion, nine hundred fifty-seven million, three hundred twenty-five thousand, four hundred forty".