79532974080 has 1344 divisors, whose sum is σ = 349626326400. Its totient is φ = 16647192576.

The previous prime is 79532974069. The next prime is 79532974093. The reversal of 79532974080 is 8047923597.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2149539822 + ... + 2149539858.

Almost surely, 2^79532974080 is an apocalyptic number.

79532974080 is a gapful number since it is divisible by the number (70) 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 79532974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174813163200).

79532974080 is an abundant number, since it is smaller than the sum of its proper divisors (270093352320).

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

79532974080 is a wasteful number, since it uses less digits than its factorization.

79532974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 71 counting only the distinct ones).

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

The spelling of 79532974080 in words is "seventy-nine billion, five hundred thirty-two million, nine hundred seventy-four thousand, eighty".