79516331403264 has 1152 divisors, whose sum is σ = 292000297680000. Its totient is φ = 21522088820736.

The previous prime is 79516331403263. The next prime is 79516331403337. The reversal of 79516331403264 is 46230413361597.

79516331403264 is a `hidden beast` number, since 7 + 9 + 5 + 1 + 6 + 331 + 40 + 3 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a self number, because there is not a number n which added to its sum of digits gives 79516331403264.

It is not an unprimeable number, because it can be changed into a prime (79516331403263) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4169917122 + ... + 4169936190.

It is an arithmetic number, because the mean of its divisors is an integer number (253472480625).

Almost surely, 2^{79516331403264} 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 79516331403264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146000148840000).

79516331403264 is an abundant number, since it is smaller than the sum of its proper divisors (212483966276736).

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

79516331403264 is an equidigital number, since it uses as much as digits as its factorization.

79516331403264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19145 (or 19100 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 79516331403264 in words is "seventy-nine trillion, five hundred sixteen billion, three hundred thirty-one million, four hundred three thousand, two hundred sixty-four".