960976440691200 has 3360 divisors, whose sum is σ = 3868613166749760. Its totient is φ = 235672967577600.

The previous prime is 960976440691199. The next prime is 960976440691231. The reversal of 960976440691200 is 2196044679069.

960976440691200 is a `hidden beast` number, since 9 + 6 + 0 + 9 + 7 + 6 + 440 + 69 + 120 + 0 = 666.

It is a super-2 number, since 2×960976440691200² (a number of 31 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1776296562930 + ... + 1776296563470.

Almost surely, 2^{960976440691200} is an apocalyptic number.

960976440691200 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 960976440691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934306583374880).

960976440691200 is an abundant number, since it is smaller than the sum of its proper divisors (2907636726058560).

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

960976440691200 is a wasteful number, since it uses less digits than its factorization.

960976440691200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 960976440691200 in words is "nine hundred sixty trillion, nine hundred seventy-six billion, four hundred forty million, six hundred ninety-one thousand, two hundred".