21724706304 has 640 divisors, whose sum is σ = 78817812480. Its totient is φ = 5773565952.

The previous prime is 21724706257. The next prime is 21724706329. The reversal of 21724706304 is 40360742712.

21724706304 is a `hidden beast` number, since 2 + 17 + 2 + 4 + 7 + 0 + 630 + 4 = 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 63 ways as a sum of consecutive naturals, for example, 95703439 + ... + 95703665.

It is an arithmetic number, because the mean of its divisors is an integer number (123152832).

Almost surely, 2^21724706304 is an apocalyptic number.

21724706304 is a gapful number since it is divisible by the number (24) 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 21724706304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39408906240).

21724706304 is an abundant number, since it is smaller than the sum of its proper divisors (57093106176).

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

21724706304 is a wasteful number, since it uses less digits than its factorization.

21724706304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 21724706304 in words is "twenty-one billion, seven hundred twenty-four million, seven hundred six thousand, three hundred four".