638599667013 has 128 divisors (see below), whose sum is σ = 1202784215040. Its totient is φ = 325207733760.

The previous prime is 638599666949. The next prime is 638599667023. The reversal of 638599667013 is 310766995836.

638599667013 is a `hidden beast` number, since 6 + 38 + 599 + 6 + 6 + 7 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 638599667013 - 2⁶ = 638599666949 is a prime.

It is a super-2 number, since 2×638599667013² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638599667023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 229958881 + ... + 229961657.

It is an arithmetic number, because the mean of its divisors is an integer number (9396751680).

Almost surely, 2^638599667013 is an apocalyptic number.

638599667013 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

638599667013 is a deficient number, since it is larger than the sum of its proper divisors (564184548027).

638599667013 is a wasteful number, since it uses less digits than its factorization.

638599667013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4944 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 638599667013 in words is "six hundred thirty-eight billion, five hundred ninety-nine million, six hundred sixty-seven thousand, thirteen".