6956745480 has 128 divisors (see below), whose sum is σ = 23306400000. Its totient is φ = 1845752832.

The previous prime is 6956745473. The next prime is 6956745487. The reversal of 6956745480 is 845476596.

6956745480 is a `hidden beast` number, since 6 + 95 + 6 + 7 + 4 + 548 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6956745473) and next prime (6956745487).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6956745487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198736 + ... + 231104.

It is an arithmetic number, because the mean of its divisors is an integer number (182081250).

Almost surely, 2^6956745480 is an apocalyptic number.

6956745480 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 6956745480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11653200000).

6956745480 is an abundant number, since it is smaller than the sum of its proper divisors (16349654520).

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

6956745480 is a wasteful number, since it uses less digits than its factorization.

6956745480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32588 (or 32578 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 6956745480 is about 83407.1068914394. The cubic root of 6956745480 is about 1908.9829000860.

The spelling of 6956745480 in words is "six billion, nine hundred fifty-six million, seven hundred forty-five thousand, four hundred eighty".