21732372480 has 832 divisors, whose sum is σ = 89831024640. Its totient is φ = 4385931264.

The previous prime is 21732372449. The next prime is 21732372481. The reversal of 21732372480 is 8427323712.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×21732372480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (21732372481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 944885749 + ... + 944885771.

Almost surely, 2^21732372480 is an apocalyptic number.

21732372480 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 21732372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44915512320).

21732372480 is an abundant number, since it is smaller than the sum of its proper divisors (68098652160).

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

21732372480 is an equidigital number, since it uses as much as digits as its factorization.

21732372480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 21732372480 in words is "twenty-one billion, seven hundred thirty-two million, three hundred seventy-two thousand, four hundred eighty".