636097203840 has 512 divisors, whose sum is σ = 2456667095040. Its totient is φ = 136897413120.

The previous prime is 636097203823. The next prime is 636097203893. The reversal of 636097203840 is 48302790636.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 636097203840.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15395049 + ... + 15436311.

It is an arithmetic number, because the mean of its divisors is an integer number (4798177920).

Almost surely, 2^636097203840 is an apocalyptic number.

636097203840 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 636097203840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228333547520).

636097203840 is an abundant number, since it is smaller than the sum of its proper divisors (1820569891200).

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

636097203840 is a wasteful number, since it uses less digits than its factorization.

636097203840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41360 (or 41348 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

It can be divided in two parts, 63609720 and 3840, that added together give a triangular number (63613560 = T₁₁₂₇₉).

The spelling of 636097203840 in words is "six hundred thirty-six billion, ninety-seven million, two hundred three thousand, eight hundred forty".