6957709440 has 256 divisors, whose sum is σ = 24976650240. Its totient is φ = 1632153600.

The previous prime is 6957709439. The next prime is 6957709481. The reversal of 6957709440 is 449077596.

It is a super-2 number, since 2×6957709440² = 96819441302930227200, which contains 22 as substring.

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, 649407 + ... + 660033.

It is an arithmetic number, because the mean of its divisors is an integer number (97565040).

Almost surely, 2^6957709440 is an apocalyptic number.

6957709440 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 6957709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12488325120).

6957709440 is an abundant number, since it is smaller than the sum of its proper divisors (18018940800).

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

6957709440 is a wasteful number, since it uses less digits than its factorization.

6957709440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10691 (or 10679 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The square root of 6957709440 is about 83412.8853355403. The cubic root of 6957709440 is about 1909.0710686209.

The spelling of 6957709440 in words is "six billion, nine hundred fifty-seven million, seven hundred nine thousand, four hundred forty".