15079738464 has 192 divisors, whose sum is σ = 50339520000. Its totient is φ = 4302180864.

The previous prime is 15079738397. The next prime is 15079738477. The reversal of 15079738464 is 46483797051.

15079738464 is a `hidden beast` number, since 1 + 507 + 9 + 73 + 8 + 4 + 64 = 666.

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 15079738464.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5484162 + ... + 5486910.

It is an arithmetic number, because the mean of its divisors is an integer number (262185000).

Almost surely, 2^15079738464 is an apocalyptic number.

15079738464 is a gapful number since it is divisible by the number (14) 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 15079738464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25169760000).

15079738464 is an abundant number, since it is smaller than the sum of its proper divisors (35259781536).

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

15079738464 is a wasteful number, since it uses less digits than its factorization.

15079738464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3682 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 15079738464 in words is "fifteen billion, seventy-nine million, seven hundred thirty-eight thousand, four hundred sixty-four".