21682670400 has 504 divisors, whose sum is σ = 85168459584. Its totient is φ = 5203968000.

The previous prime is 21682670327. The next prime is 21682670431. The reversal of 21682670400 is 407628612.

21682670400 is a `hidden beast` number, since 2 + 168 + 26 + 70 + 400 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5628475 + ... + 5632325.

Almost surely, 2^21682670400 is an apocalyptic number.

21682670400 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 21682670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42584229792).

21682670400 is an abundant number, since it is smaller than the sum of its proper divisors (63485789184).

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

21682670400 is a wasteful number, since it uses less digits than its factorization.

21682670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919 (or 3901 counting only the distinct ones).

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

The spelling of 21682670400 in words is "twenty-one billion, six hundred eighty-two million, six hundred seventy thousand, four hundred".