12637406880 has 288 divisors, whose sum is σ = 49441601664. Its totient is φ = 2879428608.

The previous prime is 12637406857. The next prime is 12637406891. The reversal of 12637406880 is 8860473621.

12637406880 is a `hidden beast` number, since 1 + 2 + 637 + 4 + 0 + 6 + 8 + 8 + 0 = 666.

12637406880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3495954 + ... + 3499566.

It is an arithmetic number, because the mean of its divisors is an integer number (171672228).

Almost surely, 2^12637406880 is an apocalyptic number.

12637406880 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 12637406880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24720800832).

12637406880 is an abundant number, since it is smaller than the sum of its proper divisors (36804194784).

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

12637406880 is a wasteful number, since it uses less digits than its factorization.

12637406880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12637406880 in words is "twelve billion, six hundred thirty-seven million, four hundred six thousand, eight hundred eighty".