21734807323680 has 384 divisors, whose sum is σ = 83593218965760. Its totient is φ = 5230582456320.

The previous prime is 21734807323667. The next prime is 21734807323709. The reversal of 21734807323680 is 8632370843712.

21734807323680 is a `hidden beast` number, since 2 + 1 + 73 + 480 + 7 + 32 + 3 + 68 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4840962 + ... + 8179518.

It is an arithmetic number, because the mean of its divisors is an integer number (217690674390).

Almost surely, 2^{21734807323680} is an apocalyptic number.

21734807323680 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 21734807323680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41796609482880).

21734807323680 is an abundant number, since it is smaller than the sum of its proper divisors (61858411642080).

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

21734807323680 is a wasteful number, since it uses less digits than its factorization.

21734807323680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338729 (or 3338715 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 21734807323680 in words is "twenty-one trillion, seven hundred thirty-four billion, eight hundred seven million, three hundred twenty-three thousand, six hundred eighty".