21227676624 has 360 divisors, whose sum is σ = 75021448320. Its totient is φ = 5484695040.

The previous prime is 21227676601. The next prime is 21227676629. The reversal of 21227676624 is 42667672212.

It is a happy number.

21227676624 is a `hidden beast` number, since 2 + 12 + 2 + 7 + 6 + 7 + 6 + 624 = 666.

It is a super-2 number, since 2×21227676624² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21227676624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21227676629) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32809069 + ... + 32809715.

It is an arithmetic number, because the mean of its divisors is an integer number (208392912).

Almost surely, 2^21227676624 is an apocalyptic number.

21227676624 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 21227676624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37510724160).

21227676624 is an abundant number, since it is smaller than the sum of its proper divisors (53793771696).

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

21227676624 is a wasteful number, since it uses less digits than its factorization.

21227676624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 939 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 21227676624 in words is "twenty-one billion, two hundred twenty-seven million, six hundred seventy-six thousand, six hundred twenty-four".