100645207573680 has 1920 divisors, whose sum is σ = 445111716741120. Its totient is φ = 19760412672000.

The previous prime is 100645207573667. The next prime is 100645207573753. The reversal of 100645207573680 is 86375702546001.

100645207573680 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 4 + 5 + 2 + 0 + 7 + 573 + 68 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 39922730820 + ... + 39922733340.

It is an arithmetic number, because the mean of its divisors is an integer number (231829019136).

Almost surely, 2^{100645207573680} is an apocalyptic number.

100645207573680 is a gapful number since it is divisible by the number (10) 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 100645207573680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222555858370560).

100645207573680 is an abundant number, since it is smaller than the sum of its proper divisors (344466509167440).

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

100645207573680 is a wasteful number, since it uses less digits than its factorization.

100645207573680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 100645207573680 in words is "one hundred trillion, six hundred forty-five billion, two hundred seven million, five hundred seventy-three thousand, six hundred eighty".