968616792000 has 1120 divisors, whose sum is σ = 4210226564544. Its totient is φ = 216732672000.

The previous prime is 968616791963. The next prime is 968616792043. The reversal of 968616792000 is 297616869.

It is a super-3 number, since 3×968616792000³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 92658774 + ... + 92669226.

Almost surely, 2^968616792000 is an apocalyptic number.

968616792000 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 968616792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105113282272).

968616792000 is an abundant number, since it is smaller than the sum of its proper divisors (3241609772544).

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

968616792000 is a wasteful number, since it uses less digits than its factorization.

968616792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10516 (or 10487 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 968616792000 in words is "nine hundred sixty-eight billion, six hundred sixteen million, seven hundred ninety-two thousand".