12464757600 has 72 divisors (see below), whose sum is σ = 40572793800. Its totient is φ = 3323934720.

The previous prime is 12464757581. The next prime is 12464757607. The reversal of 12464757600 is 675746421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12464757607) 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, 2594425 + ... + 2599224.

It is an arithmetic number, because the mean of its divisors is an integer number (563511025).

Almost surely, 2^12464757600 is an apocalyptic number.

12464757600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12464757600 is an abundant number, since it is smaller than the sum of its proper divisors (28108036200).

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

12464757600 is a wasteful number, since it uses less digits than its factorization.

12464757600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5193672 (or 5193659 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 12464757600 in words is "twelve billion, four hundred sixty-four million, seven hundred fifty-seven thousand, six hundred".