968603788800 has 240 divisors, whose sum is σ = 3555248022480. Its totient is φ = 258294251520.

The previous prime is 968603788793. The next prime is 968603788813. The reversal of 968603788800 is 8887306869.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1055737 + ... + 1746936.

It is an arithmetic number, because the mean of its divisors is an integer number (14813533427).

Almost surely, 2^968603788800 is an apocalyptic number.

968603788800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

968603788800 is an abundant number, since it is smaller than the sum of its proper divisors (2586644233680).

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

968603788800 is a wasteful number, since it uses less digits than its factorization.

968603788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802710 (or 2802683 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 968603788800 in words is "nine hundred sixty-eight billion, six hundred three million, seven hundred eighty-eight thousand, eight hundred".