21307644864000 has 800 divisors, whose sum is σ = 86585622263712. Its totient is φ = 5165475840000.

The previous prime is 21307644863873. The next prime is 21307644864029. The reversal of 21307644864000 is 46844670312.

21307644864000 is a `hidden beast` number, since 2 + 130 + 76 + 4 + 48 + 6 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 56837170 + ... + 57210830.

Almost surely, 2^{21307644864000} is an apocalyptic number.

21307644864000 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 21307644864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43292811131856).

21307644864000 is an abundant number, since it is smaller than the sum of its proper divisors (65277977399712).

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

21307644864000 is an equidigital number, since it uses as much as digits as its factorization.

21307644864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373717 (or 373682 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 21307644864000 in words is "twenty-one trillion, three hundred seven billion, six hundred forty-four million, eight hundred sixty-four thousand".