6957664560 has 480 divisors, whose sum is σ = 30113072640. Its totient is φ = 1445368320.

The previous prime is 6957664547. The next prime is 6957664561. The reversal of 6957664560 is 654667596.

6957664560 is a `hidden beast` number, since 6 + 9 + 5 + 76 + 6 + 4 + 560 = 666.

It is a super-2 number, since 2×6957664560² = 96818192258959987200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6957664497 and 6957664506.

It is not an unprimeable number, because it can be changed into a prime (6957664561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1827619 + ... + 1831421.

It is an arithmetic number, because the mean of its divisors is an integer number (62735568).

Almost surely, 2^6957664560 is an apocalyptic number.

6957664560 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 6957664560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15056536320).

6957664560 is an abundant number, since it is smaller than the sum of its proper divisors (23155408080).

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

6957664560 is a wasteful number, since it uses less digits than its factorization.

6957664560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3854 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The square root of 6957664560 is about 83412.6163119225. The cubic root of 6957664560 is about 1909.0669638555.

The spelling of 6957664560 in words is "six billion, nine hundred fifty-seven million, six hundred sixty-four thousand, five hundred sixty".