20792806320 has 320 divisors, whose sum is σ = 76695091200. Its totient is φ = 4593438720.

The previous prime is 20792806303. The next prime is 20792806339. The reversal of 20792806320 is 2360829702.

It is a super-4 number, since 4×20792806320⁴ (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2707446 + ... + 2715114.

It is an arithmetic number, because the mean of its divisors is an integer number (239672160).

Almost surely, 2^20792806320 is an apocalyptic number.

20792806320 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 20792806320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38347545600).

20792806320 is an abundant number, since it is smaller than the sum of its proper divisors (55902284880).

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

20792806320 is a wasteful number, since it uses less digits than its factorization.

20792806320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7788 (or 7782 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 20792806320 in words is "twenty billion, seven hundred ninety-two million, eight hundred six thousand, three hundred twenty".