638264164414464 has 880 divisors, whose sum is σ = 2302355684288000. Its totient is φ = 172762506878976.

The previous prime is 638264164414339. The next prime is 638264164414549. The reversal of 638264164414464 is 464414461462836.

It is a happy number.

638264164414464 is a `hidden beast` number, since 6 + 3 + 8 + 2 + 6 + 4 + 164 + 4 + 1 + 4 + 464 = 666.

It is a super-2 number, since 2×638264164414464² (a number of 30 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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 79 ways as a sum of consecutive naturals, for example, 2680548087 + ... + 2680786185.

It is an arithmetic number, because the mean of its divisors is an integer number (2616313277600).

Almost surely, 2^{638264164414464} is an apocalyptic number.

638264164414464 is a gapful number since it is divisible by the number (64) 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 638264164414464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151177842144000).

638264164414464 is an abundant number, since it is smaller than the sum of its proper divisors (1664091519873536).

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

638264164414464 is an frugal number, since it uses more digits than its factorization.

638264164414464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238172 (or 238130 counting only the distinct ones).

The product of its digits is 254803968, while the sum is 63.

The spelling of 638264164414464 in words is "six hundred thirty-eight trillion, two hundred sixty-four billion, one hundred sixty-four million, four hundred fourteen thousand, four hundred sixty-four".