20344806720 has 448 divisors, whose sum is σ = 83943383040. Its totient is φ = 4541515776.

The previous prime is 20344806709. The next prime is 20344806731. The reversal of 20344806720 is 2760844302.

20344806720 is a `hidden beast` number, since 203 + 448 + 0 + 6 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20344806709) and next prime (20344806731).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×20344806720² (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 2596729 + ... + 2604551.

Almost surely, 2^20344806720 is an apocalyptic number.

20344806720 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 20344806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41971691520).

20344806720 is an abundant number, since it is smaller than the sum of its proper divisors (63598576320).

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

20344806720 is a wasteful number, since it uses less digits than its factorization.

20344806720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7899 (or 7883 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 20344806720 in words is "twenty billion, three hundred forty-four million, eight hundred six thousand, seven hundred twenty".