20764028160 has 288 divisors, whose sum is σ = 76064271360. Its totient is φ = 5358182400.

The previous prime is 20764028149. The next prime is 20764028183. The reversal of 20764028160 is 6182046702.

20764028160 is a `hidden beast` number, since 2 + 0 + 7 + 640 + 2 + 8 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×20764028160² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 1061670 + ... + 1081050.

Almost surely, 2^20764028160 is an apocalyptic number.

20764028160 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 20764028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38032135680).

20764028160 is an abundant number, since it is smaller than the sum of its proper divisors (55300243200).

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

20764028160 is a wasteful number, since it uses less digits than its factorization.

20764028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19442 (or 19422 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 20764028160 in words is "twenty billion, seven hundred sixty-four million, twenty-eight thousand, one hundred sixty".