20924327424 has 640 divisors, whose sum is σ = 77435043840. Its totient is φ = 4843929600.

The previous prime is 20924327419. The next prime is 20924327449. The reversal of 20924327424 is 42472342902.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47663397 + ... + 47663835.

It is an arithmetic number, because the mean of its divisors is an integer number (120992256).

Almost surely, 2^20924327424 is an apocalyptic number.

20924327424 is a gapful number since it is divisible by the number (24) 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 20924327424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38717521920).

20924327424 is an abundant number, since it is smaller than the sum of its proper divisors (56510716416).

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

20924327424 is a wasteful number, since it uses less digits than its factorization.

20924327424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 20924327424 in words is "twenty billion, nine hundred twenty-four million, three hundred twenty-seven thousand, four hundred twenty-four".