968011000032 has 192 divisors, whose sum is σ = 2691193849344. Its totient is φ = 304053995520.

The previous prime is 968011000001. The next prime is 968011000081. The reversal of 968011000032 is 230000110869.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42751018 + ... + 42773654.

It is an arithmetic number, because the mean of its divisors is an integer number (14016634632).

Almost surely, 2^968011000032 is an apocalyptic number.

968011000032 is a gapful number since it is divisible by the number (92) 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 968011000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345596924672).

968011000032 is an abundant number, since it is smaller than the sum of its proper divisors (1723182849312).

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

968011000032 is a wasteful number, since it uses less digits than its factorization.

968011000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22961 (or 22953 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 968011000032 in words is "nine hundred sixty-eight billion, eleven million, thirty-two", and thus it is an aban number.