20574380736 has 672 divisors, whose sum is σ = 77722211840. Its totient is φ = 5052284928.

The previous prime is 20574380699. The next prime is 20574380777. The reversal of 20574380736 is 63708347502.

20574380736 is a `hidden beast` number, since 2 + 0 + 574 + 3 + 8 + 0 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 20574380691 and 20574380700.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72700851 + ... + 72701133.

Almost surely, 2^20574380736 is an apocalyptic number.

20574380736 is a gapful number since it is divisible by the number (26) 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 20574380736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38861105920).

20574380736 is an abundant number, since it is smaller than the sum of its proper divisors (57147831104).

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

20574380736 is a wasteful number, since it uses less digits than its factorization.

20574380736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 20574380736 in words is "twenty billion, five hundred seventy-four million, three hundred eighty thousand, seven hundred thirty-six".