20736414720 has 528 divisors, whose sum is σ = 85192668288. Its totient is φ = 4737761280.

The previous prime is 20736414719. The next prime is 20736414739. The reversal of 20736414720 is 2741463702.

20736414720 is a `hidden beast` number, since 2 + 0 + 7 + 3 + 641 + 4 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8707930 + ... + 8710310.

Almost surely, 2^20736414720 is an apocalyptic number.

20736414720 is a gapful number since it is divisible by the number (20) 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 20736414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42596334144).

20736414720 is an abundant number, since it is smaller than the sum of its proper divisors (64456253568).

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

20736414720 is an equidigital number, since it uses as much as digits as its factorization.

20736414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 20736414720 in words is "twenty billion, seven hundred thirty-six million, four hundred fourteen thousand, seven hundred twenty".