638541164160 has 192 divisors, whose sum is σ = 2205506309760. Its totient is φ = 170235648000.

The previous prime is 638541164119. The next prime is 638541164171. The reversal of 638541164160 is 61461145836.

638541164160 is a `hidden beast` number, since 6 + 3 + 8 + 541 + 1 + 6 + 41 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 28506565 + ... + 28528955.

It is an arithmetic number, because the mean of its divisors is an integer number (11487012030).

Almost surely, 2^638541164160 is an apocalyptic number.

638541164160 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 638541164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102753154880).

638541164160 is an abundant number, since it is smaller than the sum of its proper divisors (1566965145600).

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

638541164160 is a wasteful number, since it uses less digits than its factorization.

638541164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27367 (or 27352 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 638541164160 in words is "six hundred thirty-eight billion, five hundred forty-one million, one hundred sixty-four thousand, one hundred sixty".