21734208320 has 112 divisors (see below), whose sum is σ = 56799163008. Its totient is φ = 7855810560.

The previous prime is 21734208299. The next prime is 21734208341. The reversal of 21734208320 is 2380243712.

It is an interprime number because it is at equal distance from previous prime (21734208299) and next prime (21734208341).

It is a super-2 number, since 2×21734208320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 569354 + ... + 606326.

It is an arithmetic number, because the mean of its divisors is an integer number (507135384).

Almost surely, 2^21734208320 is an apocalyptic number.

21734208320 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 21734208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28399581504).

21734208320 is an abundant number, since it is smaller than the sum of its proper divisors (35064954688).

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

21734208320 is a wasteful number, since it uses less digits than its factorization.

21734208320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37168 (or 37158 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 21734208320 in words is "twenty-one billion, seven hundred thirty-four million, two hundred eight thousand, three hundred twenty".