12642376320 has 896 divisors, whose sum is σ = 53513280000. Its totient is φ = 2853107712.

The previous prime is 12642376297. The next prime is 12642376337. The reversal of 12642376320 is 2367324621.

12642376320 is a `hidden beast` number, since 1 + 2 + 642 + 3 + 7 + 6 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 160030041 + ... + 160030119.

Almost surely, 2^12642376320 is an apocalyptic number.

12642376320 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 12642376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26756640000).

12642376320 is an abundant number, since it is smaller than the sum of its proper divisors (40870903680).

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

12642376320 is an frugal number, since it uses more digits than its factorization.

12642376320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 12642376320 in words is "twelve billion, six hundred forty-two million, three hundred seventy-six thousand, three hundred twenty".