12768537600 has 1584 divisors, whose sum is σ = 60766423200. Its totient is φ = 2601123840.

The previous prime is 12768537557. The next prime is 12768537619. The reversal of 12768537600 is 673586721.

12768537600 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 8 + 5 + 37 + 600 = 666.

It is a super-2 number, since 2×12768537600² (a number of 21 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 440294386 + ... + 440294414.

Almost surely, 2^12768537600 is an apocalyptic number.

12768537600 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 12768537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30383211600).

12768537600 is an abundant number, since it is smaller than the sum of its proper divisors (47997885600).

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

12768537600 is a wasteful number, since it uses less digits than its factorization.

12768537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 12768537600 in words is "twelve billion, seven hundred sixty-eight million, five hundred thirty-seven thousand, six hundred".