79484412672 has 576 divisors, whose sum is σ = 279736934400. Its totient is φ = 21784412160.

The previous prime is 79484412671. The next prime is 79484412677. The reversal of 79484412672 is 27621448497.

79484412672 is a `hidden beast` number, since 7 + 94 + 84 + 412 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (79484412671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 295480954 + ... + 295481222.

It is an arithmetic number, because the mean of its divisors is an integer number (485654400).

Almost surely, 2^79484412672 is an apocalyptic number.

79484412672 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 79484412672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139868467200).

79484412672 is an abundant number, since it is smaller than the sum of its proper divisors (200252521728).

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

79484412672 is a wasteful number, since it uses less digits than its factorization.

79484412672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 509 counting only the distinct ones).

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

The spelling of 79484412672 in words is "seventy-nine billion, four hundred eighty-four million, four hundred twelve thousand, six hundred seventy-two".