21424761792 has 504 divisors, whose sum is σ = 75228382944. Its totient is φ = 5925685248.

The previous prime is 21424761791. The next prime is 21424761793. The reversal of 21424761792 is 29716742412.

21424761792 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 476 + 179 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (21424761791) and next prime (21424761793).

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21424761791) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 108755038 + ... + 108755234.

Almost surely, 2^21424761792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21424761792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37614191472).

21424761792 is an abundant number, since it is smaller than the sum of its proper divisors (53803621152).

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

21424761792 is an frugal number, since it uses more digits than its factorization.

21424761792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 246 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 21424761792 in words is "twenty-one billion, four hundred twenty-four million, seven hundred sixty-one thousand, seven hundred ninety-two".