20662790400 has 486 divisors, whose sum is σ = 85946961282. Its totient is φ = 4722278400.

The previous prime is 20662790371. The next prime is 20662790431. The reversal of 20662790400 is 409726602.

It is a happy number.

20662790400 is a `hidden beast` number, since 20 + 6 + 627 + 9 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 366799104 + 20295991296 = 19152^2 + 142464^2 .

It is a super-2 number, since 2×20662790400² (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 polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2818740 + ... + 2826060.

Almost surely, 2^20662790400 is an apocalyptic number.

20662790400 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 20662790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42973480641).

20662790400 is an abundant number, since it is smaller than the sum of its proper divisors (65284170882).

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

20662790400 is a wasteful number, since it uses less digits than its factorization.

20662790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7367 (or 7338 counting only the distinct ones).

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

The spelling of 20662790400 in words is "twenty billion, six hundred sixty-two million, seven hundred ninety thousand, four hundred".