957679275168 has 672 divisors, whose sum is σ = 3534350682240. Its totient is φ = 248045690880.

The previous prime is 957679275167. The next prime is 957679275169. The reversal of 957679275168 is 861572976759.

It is an interprime number because it is at equal distance from previous prime (957679275167) and next prime (957679275169).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×957679275168² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 957679275096 and 957679275105.

It is not an unprimeable number, because it can be changed into a prime (957679275167) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1022069196 + ... + 1022070132.

It is an arithmetic number, because the mean of its divisors is an integer number (5259450420).

Almost surely, 2^957679275168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 957679275168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767175341120).

957679275168 is an abundant number, since it is smaller than the sum of its proper divisors (2576671407072).

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

957679275168 is a wasteful number, since it uses less digits than its factorization.

957679275168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1529 counting only the distinct ones).

The product of its digits is 400075200, while the sum is 72.

The spelling of 957679275168 in words is "nine hundred fifty-seven billion, six hundred seventy-nine million, two hundred seventy-five thousand, one hundred sixty-eight".