12752756640 has 576 divisors, whose sum is σ = 50761541376. Its totient is φ = 2999918592.

The previous prime is 12752756591. The next prime is 12752756671. The reversal of 12752756640 is 4665725721.

12752756640 is a `hidden beast` number, since 1 + 27 + 5 + 27 + 566 + 40 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11624572 + ... + 11625668.

It is an arithmetic number, because the mean of its divisors is an integer number (88127676).

Almost surely, 2^12752756640 is an apocalyptic number.

12752756640 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 12752756640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25380770688).

12752756640 is an abundant number, since it is smaller than the sum of its proper divisors (38008784736).

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

12752756640 is a wasteful number, since it uses less digits than its factorization.

12752756640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 12752756640 in words is "twelve billion, seven hundred fifty-two million, seven hundred fifty-six thousand, six hundred forty".