968232610800 has 720 divisors, whose sum is σ = 4219895534400. Its totient is φ = 204283054080.

The previous prime is 968232610781. The next prime is 968232610913. The reversal of 968232610800 is 8016232869.

968232610800 is a `hidden beast` number, since 9 + 6 + 8 + 23 + 2 + 610 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16022242 + ... + 16082558.

It is an arithmetic number, because the mean of its divisors is an integer number (5860966020).

Almost surely, 2^968232610800 is an apocalyptic number.

968232610800 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 968232610800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109947767200).

968232610800 is an abundant number, since it is smaller than the sum of its proper divisors (3251662923600).

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

968232610800 is a wasteful number, since it uses less digits than its factorization.

968232610800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60375 (or 60347 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 968232610800 in words is "nine hundred sixty-eight billion, two hundred thirty-two million, six hundred ten thousand, eight hundred".