15027665664 has 432 divisors, whose sum is σ = 46976025600. Its totient is φ = 4252385280.

The previous prime is 15027665663. The next prime is 15027665677. The reversal of 15027665664 is 46656672051.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (15027665663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168850132 + ... + 168850220.

It is an arithmetic number, because the mean of its divisors is an integer number (108740800).

Almost surely, 2^15027665664 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 15027665664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23488012800).

15027665664 is an abundant number, since it is smaller than the sum of its proper divisors (31948359936).

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

15027665664 is a wasteful number, since it uses less digits than its factorization.

15027665664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 15027665664 in words is "fifteen billion, twenty-seven million, six hundred sixty-five thousand, six hundred sixty-four".