20320461504 has 336 divisors, whose sum is σ = 68449139200. Its totient is φ = 5761082880.

The previous prime is 20320461479. The next prime is 20320461517. The reversal of 20320461504 is 40516402302.

20320461504 is a `hidden beast` number, since 20 + 3 + 20 + 4 + 615 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nialpdrome in base 14.

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, 32203269 + ... + 32203899.

Almost surely, 2^20320461504 is an apocalyptic number.

20320461504 is a gapful number since it is divisible by the number (24) 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 20320461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34224569600).

20320461504 is an abundant number, since it is smaller than the sum of its proper divisors (48128677696).

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

20320461504 is a wasteful number, since it uses less digits than its factorization.

20320461504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 20320461504 its reverse (40516402302), we get a palindrome (60836863806).

The spelling of 20320461504 in words is "twenty billion, three hundred twenty million, four hundred sixty-one thousand, five hundred four".