79731048788352 has 1024 divisors, whose sum is σ = 274647034368000. Its totient is φ = 22574277918720.

The previous prime is 79731048788323. The next prime is 79731048788371. The reversal of 79731048788352 is 25388784013797.

79731048788352 is a `hidden beast` number, since 7 + 9 + 7 + 3 + 10 + 487 + 8 + 83 + 52 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3402790077 + ... + 3402813507.

It is an arithmetic number, because the mean of its divisors is an integer number (268209994500).

Almost surely, 2^{79731048788352} is an apocalyptic number.

79731048788352 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 79731048788352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137323517184000).

79731048788352 is an abundant number, since it is smaller than the sum of its proper divisors (194915985579648).

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

79731048788352 is a wasteful number, since it uses less digits than its factorization.

79731048788352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23616 (or 23598 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 79731048788352 in words is "seventy-nine trillion, seven hundred thirty-one billion, forty-eight million, seven hundred eighty-eight thousand, three hundred fifty-two".