20765606400 has 720 divisors, whose sum is σ = 92691263808. Its totient is φ = 4313088000.

The previous prime is 20765606399. The next prime is 20765606417. The reversal of 20765606400 is 460656702.

20765606400 is a `hidden beast` number, since 2 + 0 + 7 + 6 + 5 + 6 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8869230 + ... + 8871570.

Almost surely, 2^20765606400 is an apocalyptic number.

20765606400 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 20765606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46345631904).

20765606400 is an abundant number, since it is smaller than the sum of its proper divisors (71925657408).

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

20765606400 is a wasteful number, since it uses less digits than its factorization.

20765606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 20765606400 in words is "twenty billion, seven hundred sixty-five million, six hundred six thousand, four hundred".