12642563400 has 192 divisors, whose sum is σ = 42068289600. Its totient is φ = 3129384960.

The previous prime is 12642563359. The next prime is 12642563419. The reversal of 12642563400 is 436524621.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 736111 + ... + 753089.

It is an arithmetic number, because the mean of its divisors is an integer number (219105675).

Almost surely, 2^12642563400 is an apocalyptic number.

12642563400 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 12642563400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21034144800).

12642563400 is an abundant number, since it is smaller than the sum of its proper divisors (29425726200).

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

12642563400 is a wasteful number, since it uses less digits than its factorization.

12642563400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17088 (or 17079 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 12642563400 in words is "twelve billion, six hundred forty-two million, five hundred sixty-three thousand, four hundred".