21640404346200 has 288 divisors, whose sum is σ = 76785149610000. Its totient is φ = 5446723599360.

The previous prime is 21640404346199. The next prime is 21640404346241. The reversal of 21640404346200 is 264340404612.

21640404346200 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 0 + 404 + 3 + 46 + 200 = 666.

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 71 ways as a sum of consecutive naturals, for example, 8023666 + ... + 10375934.

Almost surely, 2^{21640404346200} is an apocalyptic number.

21640404346200 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 21640404346200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38392574805000).

21640404346200 is an abundant number, since it is smaller than the sum of its proper divisors (55144745263800).

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

21640404346200 is a wasteful number, since it uses less digits than its factorization.

21640404346200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352579 (or 2352567 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 21640404346200 in words is "twenty-one trillion, six hundred forty billion, four hundred four million, three hundred forty-six thousand, two hundred".