221327640576 has 864 divisors, whose sum is σ = 785058674400. Its totient is φ = 59825848320.

The previous prime is 221327640559. The next prime is 221327640593. The reversal of 221327640576 is 675046723122.

221327640576 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 2 + 76 + 4 + 0 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (221327640559) and next prime (221327640593).

It is a super-2 number, since 2×221327640576² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1592285115 + ... + 1592285253.

It is an arithmetic number, because the mean of its divisors is an integer number (908632725).

Almost surely, 2^221327640576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221327640576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392529337200).

221327640576 is an abundant number, since it is smaller than the sum of its proper divisors (563731033824).

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

221327640576 is a wasteful number, since it uses less digits than its factorization.

221327640576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 221327640576 in words is "two hundred twenty-one billion, three hundred twenty-seven million, six hundred forty thousand, five hundred seventy-six".