21946636800 has 960 divisors, whose sum is σ = 92064107520. Its totient is φ = 5068800000.

The previous prime is 21946636799. The next prime is 21946636819. The reversal of 21946636800 is 863664912.

21946636800 is a `hidden beast` number, since 2 + 1 + 9 + 4 + 6 + 636 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×21946636800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 87436675 + ... + 87436925.

It is an arithmetic number, because the mean of its divisors is an integer number (95900112).

Almost surely, 2^21946636800 is an apocalyptic number.

21946636800 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 21946636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46032053760).

21946636800 is an abundant number, since it is smaller than the sum of its proper divisors (70117470720).

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

21946636800 is a wasteful number, since it uses less digits than its factorization.

21946636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 21946636800 in words is "twenty-one billion, nine hundred forty-six million, six hundred thirty-six thousand, eight hundred".