12764528640 has 480 divisors, whose sum is σ = 47184480000. Its totient is φ = 3269984256.

The previous prime is 12764528627. The next prime is 12764528671. The reversal of 12764528640 is 4682546721.

12764528640 is a `hidden beast` number, since 1 + 2 + 7 + 64 + 528 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64143261 + ... + 64143459.

It is an arithmetic number, because the mean of its divisors is an integer number (98301000).

Almost surely, 2^12764528640 is an apocalyptic number.

12764528640 is a gapful number since it is divisible by the number (10) 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 12764528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23592240000).

12764528640 is an abundant number, since it is smaller than the sum of its proper divisors (34419951360).

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

12764528640 is an equidigital number, since it uses as much as digits as its factorization.

12764528640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 12764528640 in words is "twelve billion, seven hundred sixty-four million, five hundred twenty-eight thousand, six hundred forty".