638083256559840 has 3456 divisors, whose sum is σ = 2836409899115520. Its totient is φ = 132624557604864.

The previous prime is 638083256559821. The next prime is 638083256559857. The reversal of 638083256559840 is 48955652380836.

638083256559840 is a `hidden beast` number, since 6 + 3 + 8 + 0 + 8 + 3 + 2 + 565 + 59 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1560105761556 + ... + 1560105761964.

It is an arithmetic number, because the mean of its divisors is an integer number (820720456920).

Almost surely, 2^{638083256559840} is an apocalyptic number.

638083256559840 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 638083256559840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418204949557760).

638083256559840 is an abundant number, since it is smaller than the sum of its proper divisors (2198326642555680).

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

638083256559840 is a wasteful number, since it uses less digits than its factorization.

638083256559840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 1492992000, while the sum is 72.

The spelling of 638083256559840 in words is "six hundred thirty-eight trillion, eighty-three billion, two hundred fifty-six million, five hundred fifty-nine thousand, eight hundred forty".