21264615936 has 320 divisors, whose sum is σ = 65335818240. Its totient is φ = 6824079360.

The previous prime is 21264615919. The next prime is 21264615959. The reversal of 21264615936 is 63951646212.

21264615936 is a `hidden beast` number, since 2 + 1 + 26 + 4 + 615 + 9 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21264615891 and 21264615900.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49337641 + ... + 49338071.

It is an arithmetic number, because the mean of its divisors is an integer number (204174432).

Almost surely, 2^21264615936 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 21264615936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32667909120).

21264615936 is an abundant number, since it is smaller than the sum of its proper divisors (44071202304).

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

21264615936 is an equidigital number, since it uses as much as digits as its factorization.

21264615936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 562 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 21264615936 in words is "twenty-one billion, two hundred sixty-four million, six hundred fifteen thousand, nine hundred thirty-six".