21474382320 has 240 divisors, whose sum is σ = 78138114912. Its totient is φ = 5264179200.

The previous prime is 21474382309. The next prime is 21474382357. The reversal of 21474382320 is 2328347412.

It is a happy number.

21474382320 is a `hidden beast` number, since 214 + 7 + 43 + 82 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×21474382320² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 505920 + ... + 546720.

Almost surely, 2^21474382320 is an apocalyptic number.

21474382320 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 21474382320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39069057456).

21474382320 is an abundant number, since it is smaller than the sum of its proper divisors (56663732592).

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

21474382320 is a wasteful number, since it uses less digits than its factorization.

21474382320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40880 (or 40871 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 21474382320 in words is "twenty-one billion, four hundred seventy-four million, three hundred eighty-two thousand, three hundred twenty".