21674225664 has 702 divisors, whose sum is σ = 79972140456. Its totient is φ = 5635768320.

The previous prime is 21674225653. The next prime is 21674225669. The reversal of 21674225664 is 46652247612.

21674225664 is a `hidden beast` number, since 2 + 1 + 67 + 4 + 22 + 566 + 4 = 666.

Its product of digits (967680) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21674225669) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 305270749 + ... + 305270819.

It is an arithmetic number, because the mean of its divisors is an integer number (113920428).

Almost surely, 2^21674225664 is an apocalyptic number.

21674225664 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 21674225664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39986070228).

21674225664 is an abundant number, since it is smaller than the sum of its proper divisors (58297914792).

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

21674225664 is a wasteful number, since it uses less digits than its factorization.

21674225664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 96 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 21674225664 in words is "twenty-one billion, six hundred seventy-four million, two hundred twenty-five thousand, six hundred sixty-four".