638085815136000 has 4032 divisors, whose sum is σ = 2999488344652800. Its totient is φ = 131332534272000.

The previous prime is 638085815135969. The next prime is 638085815136017. The reversal of 638085815136000 is 631518580836.

638085815136000 is a `hidden beast` number, since 6 + 3 + 8 + 0 + 8 + 5 + 8 + 15 + 13 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 195791902371 + ... + 195791905629.

It is an arithmetic number, because the mean of its divisors is an integer number (743920720400).

Almost surely, 2^{638085815136000} is an apocalyptic number.

638085815136000 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 638085815136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499744172326400).

638085815136000 is an abundant number, since it is smaller than the sum of its proper divisors (2361402529516800).

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

638085815136000 is a wasteful number, since it uses less digits than its factorization.

638085815136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3435 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 638085815136000 in words is "six hundred thirty-eight trillion, eighty-five billion, eight hundred fifteen million, one hundred thirty-six thousand".