21422725632 has 480 divisors, whose sum is σ = 77751273600. Its totient is φ = 5516328960.

The previous prime is 21422725589. The next prime is 21422725657. The reversal of 21422725632 is 23652722412.

21422725632 is a `hidden beast` number, since 2 + 1 + 4 + 22 + 72 + 563 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 61382994 + ... + 61383342.

It is an arithmetic number, because the mean of its divisors is an integer number (161981820).

Almost surely, 2^21422725632 is an apocalyptic number.

21422725632 is a gapful number since it is divisible by the number (22) 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 21422725632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38875636800).

21422725632 is an abundant number, since it is smaller than the sum of its proper divisors (56328547968).

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

21422725632 is a wasteful number, since it uses less digits than its factorization.

21422725632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 545 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The spelling of 21422725632 in words is "twenty-one billion, four hundred twenty-two million, seven hundred twenty-five thousand, six hundred thirty-two".