79247488320 has 2688 divisors, whose sum is σ = 408627072000. Its totient is φ = 14306181120.

The previous prime is 79247488301. The next prime is 79247488343. The reversal of 79247488320 is 2388474297.

It is a happy number.

79247488320 is a `hidden beast` number, since 7 + 92 + 47 + 488 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4661616952 + ... + 4661616968.

It is an arithmetic number, because the mean of its divisors is an integer number (152019000).

Almost surely, 2^79247488320 is an apocalyptic number.

79247488320 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 79247488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204313536000).

79247488320 is an abundant number, since it is smaller than the sum of its proper divisors (329379583680).

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

79247488320 is a wasteful number, since it uses less digits than its factorization.

79247488320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 79247488320 in words is "seventy-nine billion, two hundred forty-seven million, four hundred eighty-eight thousand, three hundred twenty".