79511350464 has 224 divisors, whose sum is σ = 287691210240. Its totient is φ = 20969985024.

The previous prime is 79511350459. The next prime is 79511350469. The reversal of 79511350464 is 46405311597.

79511350464 is a `hidden beast` number, since 7 + 9 + 51 + 135 + 0 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (79511350459) and next prime (79511350469).

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (79511350469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95574 + ... + 410069.

It is an arithmetic number, because the mean of its divisors is an integer number (1284335760).

Almost surely, 2^79511350464 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 79511350464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143845605120).

79511350464 is an abundant number, since it is smaller than the sum of its proper divisors (208179859776).

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

79511350464 is a wasteful number, since it uses less digits than its factorization.

79511350464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505684 (or 505668 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 79511350464 in words is "seventy-nine billion, five hundred eleven million, three hundred fifty thousand, four hundred sixty-four".