12756632800 has 72 divisors (see below), whose sum is σ = 31168286352. Its totient is φ = 5098368000.

The previous prime is 12756632789. The next prime is 12756632809. The reversal of 12756632800 is 823665721.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12756632809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1050765 + ... + 1062835.

It is an arithmetic number, because the mean of its divisors is an integer number (432892866).

Almost surely, 2^12756632800 is an apocalyptic number.

12756632800 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 12756632800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15584143176).

12756632800 is an abundant number, since it is smaller than the sum of its proper divisors (18411653552).

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

12756632800 is a wasteful number, since it uses less digits than its factorization.

12756632800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13412 (or 13399 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 12756632800 in words is "twelve billion, seven hundred fifty-six million, six hundred thirty-two thousand, eight hundred".