21776064405732 has 576 divisors, whose sum is σ = 73280958992640. Its totient is φ = 5538394165248.

The previous prime is 21776064405713. The next prime is 21776064405787. The reversal of 21776064405732 is 23750446067712.

21776064405732 is a `hidden beast` number, since 2 + 1 + 7 + 7 + 6 + 0 + 64 + 4 + 0 + 573 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 287598223 + ... + 287673929.

It is an arithmetic number, because the mean of its divisors is an integer number (127223887140).

Almost surely, 2^{21776064405732} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21776064405732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36640479496320).

21776064405732 is an abundant number, since it is smaller than the sum of its proper divisors (51504894586908).

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

21776064405732 is a wasteful number, since it uses less digits than its factorization.

21776064405732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75897 (or 75882 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 21776064405732 in words is "twenty-one trillion, seven hundred seventy-six billion, sixty-four million, four hundred five thousand, seven hundred thirty-two".