79105876632 has 192 divisors, whose sum is σ = 223491840000. Its totient is φ = 25250227200.

The previous prime is 79105876631. The next prime is 79105876651. The reversal of 79105876632 is 23667850197.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79105876631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107044119 + ... + 107044857.

It is an arithmetic number, because the mean of its divisors is an integer number (1164020000).

Almost surely, 2^79105876632 is an apocalyptic number.

79105876632 is a gapful number since it is divisible by the number (72) 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 79105876632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111745920000).

79105876632 is an abundant number, since it is smaller than the sum of its proper divisors (144385963368).

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

79105876632 is a wasteful number, since it uses less digits than its factorization.

79105876632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 79105876632 in words is "seventy-nine billion, one hundred five million, eight hundred seventy-six thousand, six hundred thirty-two".