6957672960 has 640 divisors, whose sum is σ = 28170768384. Its totient is φ = 1427374080.

The previous prime is 6957672959. The next prime is 6957672961. The reversal of 6957672960 is 692767596.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6957672959) and next prime (6957672961).

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 6957672960.

It is not an unprimeable number, because it can be changed into a prime (6957672961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21019995 + ... + 21020325.

Almost surely, 2^6957672960 is an apocalyptic number.

6957672960 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 6957672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14085384192).

6957672960 is an abundant number, since it is smaller than the sum of its proper divisors (21213095424).

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

6957672960 is a wasteful number, since it uses less digits than its factorization.

6957672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 57.

The square root of 6957672960 is about 83412.6666640025. Note that the first 5 decimals coincide. The cubic root of 6957672960 is about 1909.0677321284.

The spelling of 6957672960 in words is "six billion, nine hundred fifty-seven million, six hundred seventy-two thousand, nine hundred sixty".