79884639072 has 960 divisors, whose sum is σ = 307183726080. Its totient is φ = 19814989824.

The previous prime is 79884639061. The next prime is 79884639103. The reversal of 79884639072 is 27093648897.

79884639072 is a `hidden beast` number, since 7 + 9 + 88 + 463 + 90 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 252001858 + ... + 252002174.

It is an arithmetic number, because the mean of its divisors is an integer number (319983048).

Almost surely, 2^79884639072 is an apocalyptic number.

79884639072 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 79884639072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153591863040).

79884639072 is an abundant number, since it is smaller than the sum of its proper divisors (227299087008).

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

79884639072 is a wasteful number, since it uses less digits than its factorization.

79884639072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 79884639072 in words is "seventy-nine billion, eight hundred eighty-four million, six hundred thirty-nine thousand, seventy-two".