638735004600 has 384 divisors, whose sum is σ = 2479041331200. Its totient is φ = 132166540800.

The previous prime is 638735004587. The next prime is 638735004613. The reversal of 638735004600 is 6400537836.

It is an interprime number because it is at equal distance from previous prime (638735004587) and next prime (638735004613).

It is a super-2 number, since 2×638735004600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11012877 + ... + 11070723.

It is an arithmetic number, because the mean of its divisors is an integer number (6455836800).

Almost surely, 2^638735004600 is an apocalyptic number.

638735004600 is a gapful number since it is divisible by the number (60) 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 638735004600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239520665600).

638735004600 is an abundant number, since it is smaller than the sum of its proper divisors (1840306326600).

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

638735004600 is a wasteful number, since it uses less digits than its factorization.

638735004600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58123 (or 58114 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 638735004600 in words is "six hundred thirty-eight billion, seven hundred thirty-five million, four thousand, six hundred".