10002639643920 has 800 divisors, whose sum is σ = 43336522285056. Its totient is φ = 2077342848000.

The previous prime is 10002639643873. The next prime is 10002639643943. The reversal of 10002639643920 is 2934693620001.

10002639643920 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 2 + 639 + 6 + 4 + 3 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×10002639643920² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1173050697 + ... + 1173059223.

Almost surely, 2^{10002639643920} is an apocalyptic number.

10002639643920 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 10002639643920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21668261142528).

10002639643920 is an abundant number, since it is smaller than the sum of its proper divisors (33333882641136).

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

10002639643920 is a wasteful number, since it uses less digits than its factorization.

10002639643920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10921 (or 10906 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 10002639643920 in words is "ten trillion, two billion, six hundred thirty-nine million, six hundred forty-three thousand, nine hundred twenty".