638583088416 has 192 divisors, whose sum is σ = 2063696544000. Its totient is φ = 168370016256.

The previous prime is 638583088399. The next prime is 638583088433. The reversal of 638583088416 is 614880385836.

It is an interprime number because it is at equal distance from previous prime (638583088399) and next prime (638583088433).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 638583088416.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39732030 + ... + 39748098.

It is an arithmetic number, because the mean of its divisors is an integer number (10748419500).

Almost surely, 2^638583088416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638583088416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031848272000).

638583088416 is an abundant number, since it is smaller than the sum of its proper divisors (1425113455584).

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

638583088416 is a wasteful number, since it uses less digits than its factorization.

638583088416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20651 (or 20643 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 638583088416 in words is "six hundred thirty-eight billion, five hundred eighty-three million, eighty-eight thousand, four hundred sixteen".