79642101888 has 192 divisors, whose sum is σ = 232792560000. Its totient is φ = 26130843648.

The previous prime is 79642101883. The next prime is 79642101937. The reversal of 79642101888 is 88810124697.

It is a tau number, because it is divible by the number of its divisors (192).

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 not an unprimeable number, because it can be changed into a prime (79642101883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34490878 + ... + 34493186.

It is an arithmetic number, because the mean of its divisors is an integer number (1212461250).

Almost surely, 2^79642101888 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 79642101888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116396280000).

79642101888 is an abundant number, since it is smaller than the sum of its proper divisors (153150458112).

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

79642101888 is a wasteful number, since it uses less digits than its factorization.

79642101888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 79642101888 in words is "seventy-nine billion, six hundred forty-two million, one hundred one thousand, eight hundred eighty-eight".