6636380493600 has 1728 divisors, whose sum is σ = 27946586304000. Its totient is φ = 1460809728000.

The previous prime is 6636380493599. The next prime is 6636380493623. The reversal of 6636380493600 is 63940836366.

6636380493600 is a `hidden beast` number, since 6 + 63 + 6 + 38 + 0 + 493 + 60 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 27767282281 + ... + 27767282519.

It is an arithmetic number, because the mean of its divisors is an integer number (16172793000).

Almost surely, 2^{6636380493600} is an apocalyptic number.

6636380493600 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 6636380493600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13973293152000).

6636380493600 is an abundant number, since it is smaller than the sum of its proper divisors (21310205810400).

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

6636380493600 is a wasteful number, since it uses less digits than its factorization.

6636380493600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 6636380493600 in words is "six trillion, six hundred thirty-six billion, three hundred eighty million, four hundred ninety-three thousand, six hundred".