21662374272 has 512 divisors, whose sum is σ = 74619740160. Its totient is φ = 5405491200.

The previous prime is 21662374271. The next prime is 21662374289. The reversal of 21662374272 is 27247326612.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21662374271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129714733 + ... + 129714899.

It is an arithmetic number, because the mean of its divisors is an integer number (145741680).

Almost surely, 2^21662374272 is an apocalyptic number.

21662374272 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 21662374272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37309870080).

21662374272 is an abundant number, since it is smaller than the sum of its proper divisors (52957365888).

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

21662374272 is a wasteful number, since it uses less digits than its factorization.

21662374272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 338 counting only the distinct ones).

The product of its digits is 338688, while the sum is 42.

The spelling of 21662374272 in words is "twenty-one billion, six hundred sixty-two million, three hundred seventy-four thousand, two hundred seventy-two".