20664907200 has 378 divisors, whose sum is σ = 85442380296. Its totient is φ = 4723246080.

The previous prime is 20664907189. The next prime is 20664907327. The reversal of 20664907200 is 270946602.

It is a happy number.

20664907200 is a `hidden beast` number, since 2 + 0 + 6 + 649 + 0 + 7 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×20664907200² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 690957 + ... + 720243.

Almost surely, 2^20664907200 is an apocalyptic number.

20664907200 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 20664907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42721190148).

20664907200 is an abundant number, since it is smaller than the sum of its proper divisors (64777473096).

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

20664907200 is a wasteful number, since it uses less digits than its factorization.

20664907200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29329 (or 29304 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 20664907200 in words is "twenty billion, six hundred sixty-four million, nine hundred seven thousand, two hundred".