968741663232 has 960 divisors, whose sum is σ = 3285533712384. Its totient is φ = 248115363840.

The previous prime is 968741663179. The next prime is 968741663339. The reversal of 968741663232 is 232366147869.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9987027408 + ... + 9987027504.

Almost surely, 2^968741663232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968741663232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642766856192).

968741663232 is an abundant number, since it is smaller than the sum of its proper divisors (2316792049152).

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

968741663232 is a wasteful number, since it uses less digits than its factorization.

968741663232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 242 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 57.

The spelling of 968741663232 in words is "nine hundred sixty-eight billion, seven hundred forty-one million, six hundred sixty-three thousand, two hundred thirty-two".