12615027264 has 336 divisors, whose sum is σ = 43364505600. Its totient is φ = 3585641472.

The previous prime is 12615027251. The next prime is 12615027283. The reversal of 12615027264 is 46272051621.

It is a happy number.

12615027264 is a `hidden beast` number, since 1 + 26 + 1 + 502 + 72 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32429182 + ... + 32429570.

Almost surely, 2^12615027264 is an apocalyptic number.

12615027264 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 12615027264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21682252800).

12615027264 is an abundant number, since it is smaller than the sum of its proper divisors (30749478336).

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

12615027264 is a wasteful number, since it uses less digits than its factorization.

12615027264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 12615027264 its reverse (46272051621), we get a palindrome (58887078885).

The spelling of 12615027264 in words is "twelve billion, six hundred fifteen million, twenty-seven thousand, two hundred sixty-four".