20764904160 has 768 divisors, whose sum is σ = 91689615360. Its totient is φ = 3807682560.

The previous prime is 20764904143. The next prime is 20764904179. The reversal of 20764904160 is 6140946702.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11050101 + ... + 11051979.

It is an arithmetic number, because the mean of its divisors is an integer number (119387520).

Almost surely, 2^20764904160 is an apocalyptic number.

20764904160 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 20764904160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45844807680).

20764904160 is an abundant number, since it is smaller than the sum of its proper divisors (70924711200).

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

20764904160 is a wasteful number, since it uses less digits than its factorization.

20764904160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951 (or 1943 counting only the distinct ones).

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

The spelling of 20764904160 in words is "twenty billion, seven hundred sixty-four million, nine hundred four thousand, one hundred sixty".