83632164968 has 64 divisors (see below), whose sum is σ = 172864972800. Its totient is φ = 37616382720.

The previous prime is 83632164961. The next prime is 83632164977. The reversal of 83632164968 is 86946123638.

It is a happy number.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (83632164961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4337846 + ... + 4357082.

It is an arithmetic number, because the mean of its divisors is an integer number (2701015200).

Almost surely, 2^83632164968 is an apocalyptic number.

83632164968 is a gapful number since it is divisible by the number (88) 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 83632164968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86432486400).

83632164968 is an abundant number, since it is smaller than the sum of its proper divisors (89232807832).

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

83632164968 is a wasteful number, since it uses less digits than its factorization.

83632164968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19770 (or 19766 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 56.

The spelling of 83632164968 in words is "eighty-three billion, six hundred thirty-two million, one hundred sixty-four thousand, nine hundred sixty-eight".