21647364480 has 1024 divisors, whose sum is σ = 94755225600. Its totient is φ = 4561920000.

The previous prime is 21647364439. The next prime is 21647364491. The reversal of 21647364480 is 8446374612.

21647364480 is a `hidden beast` number, since 2 + 164 + 7 + 3 + 6 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86244355 + ... + 86244605.

It is an arithmetic number, because the mean of its divisors is an integer number (92534400).

Almost surely, 2^21647364480 is an apocalyptic number.

21647364480 is a gapful number since it is divisible by the number (20) 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 21647364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47377612800).

21647364480 is an abundant number, since it is smaller than the sum of its proper divisors (73107861120).

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

21647364480 is a wasteful number, since it uses less digits than its factorization.

21647364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 21647364480 in words is "twenty-one billion, six hundred forty-seven million, three hundred sixty-four thousand, four hundred eighty".