636980198400 has 3168 divisors, whose sum is σ = 3121475212800. Its totient is φ = 124216934400.

The previous prime is 636980198399. The next prime is 636980198423. The reversal of 636980198400 is 4891089636.

636980198400 is a `hidden beast` number, since 63 + 6 + 98 + 0 + 1 + 98 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15536102380 + ... + 15536102420.

Almost surely, 2^636980198400 is an apocalyptic number.

636980198400 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 636980198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560737606400).

636980198400 is an abundant number, since it is smaller than the sum of its proper divisors (2484495014400).

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

636980198400 is a wasteful number, since it uses less digits than its factorization.

636980198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 636980198400 in words is "six hundred thirty-six billion, nine hundred eighty million, one hundred ninety-eight thousand, four hundred".