21627714240 has 504 divisors, whose sum is σ = 83381813424. Its totient is φ = 5139763200.

The previous prime is 21627714239. The next prime is 21627714247. The reversal of 21627714240 is 4241772612.

21627714240 is a `hidden beast` number, since 2 + 1 + 627 + 7 + 1 + 4 + 24 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21627714195 and 21627714204.

It is not an unprimeable number, because it can be changed into a prime (21627714247) 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, 18468855 + ... + 18470025.

It is an arithmetic number, because the mean of its divisors is an integer number (165440106).

Almost surely, 2^21627714240 is an apocalyptic number.

21627714240 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 21627714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41690906712).

21627714240 is an abundant number, since it is smaller than the sum of its proper divisors (61754099184).

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

21627714240 is a wasteful number, since it uses less digits than its factorization.

21627714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 21627714240 in words is "twenty-one billion, six hundred twenty-seven million, seven hundred fourteen thousand, two hundred forty".