968975908560 has 360 divisors, whose sum is σ = 3635526264552. Its totient is φ = 231051110400.

The previous prime is 968975908489. The next prime is 968975908583. The reversal of 968975908560 is 65809579869.

968975908560 is a `hidden beast` number, since 9 + 6 + 8 + 9 + 7 + 59 + 0 + 8 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 152352824976 + 816623083584 = 390324^2 + 903672^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×968975908560² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5223154 + ... + 5405486.

Almost surely, 2^968975908560 is an apocalyptic number.

968975908560 is a gapful number since it is divisible by the number (90) 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 968975908560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817763132276).

968975908560 is an abundant number, since it is smaller than the sum of its proper divisors (2666550355992).

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

968975908560 is a wasteful number, since it uses less digits than its factorization.

968975908560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182435 (or 182415 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 72.

The spelling of 968975908560 in words is "nine hundred sixty-eight billion, nine hundred seventy-five million, nine hundred eight thousand, five hundred sixty".