12760374564 has 144 divisors (see below), whose sum is σ = 38199208320. Its totient is φ = 3514129920.

The previous prime is 12760374553. The next prime is 12760374569. The reversal of 12760374564 is 46547306721.

12760374564 is a `hidden beast` number, since 1 + 27 + 60 + 3 + 7 + 4 + 564 = 666.

It is not an unprimeable number, because it can be changed into a prime (12760374569) 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, 5925712 + ... + 5927864.

It is an arithmetic number, because the mean of its divisors is an integer number (265272280).

Almost surely, 2^12760374564 is an apocalyptic number.

12760374564 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 12760374564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19099604160).

12760374564 is an abundant number, since it is smaller than the sum of its proper divisors (25438833756).

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

12760374564 is a wasteful number, since it uses less digits than its factorization.

12760374564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 12760374564 in words is "twelve billion, seven hundred sixty million, three hundred seventy-four thousand, five hundred sixty-four".