10638144720 has 200 divisors, whose sum is σ = 42226297344. Its totient is φ = 2431565568.

The previous prime is 10638144701. The next prime is 10638144767. The reversal of 10638144720 is 2744183601.

10638144720 is a `hidden beast` number, since 1 + 0 + 638 + 14 + 4 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×10638144720² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71904 + ... + 162623.

Almost surely, 2^10638144720 is an apocalyptic number.

10638144720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10638144720 is an abundant number, since it is smaller than the sum of its proper divisors (31588152624).

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

10638144720 is a wasteful number, since it uses less digits than its factorization.

10638144720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234559 (or 234544 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10638144720 in words is "ten billion, six hundred thirty-eight million, one hundred forty-four thousand, seven hundred twenty".