21634107264 has 448 divisors, whose sum is σ = 80590999680. Its totient is φ = 5617382400.

The previous prime is 21634107251. The next prime is 21634107277. The reversal of 21634107264 is 46270143612.

21634107264 is a `hidden beast` number, since 2 + 1 + 634 + 10 + 7 + 2 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (21634107251) and next prime (21634107277).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×21634107264² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7183519 + ... + 7186529.

Almost surely, 2^21634107264 is an apocalyptic number.

21634107264 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 21634107264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40295499840).

21634107264 is an abundant number, since it is smaller than the sum of its proper divisors (58956892416).

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

21634107264 is an equidigital number, since it uses as much as digits as its factorization.

21634107264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3061 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 21634107264 in words is "twenty-one billion, six hundred thirty-four million, one hundred seven thousand, two hundred sixty-four".