220934636640 has 96 divisors (see below), whose sum is σ = 773271243360. Its totient is φ = 58915901952.

The previous prime is 220934636633. The next prime is 220934636651. The reversal of 220934636640 is 46636439022.

220934636640 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 3 + 4 + 636 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×220934636640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25566819 + ... + 25575458.

It is an arithmetic number, because the mean of its divisors is an integer number (8054908785).

Almost surely, 2^220934636640 is an apocalyptic number.

220934636640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220934636640 is an abundant number, since it is smaller than the sum of its proper divisors (552336606720).

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

220934636640 is a wasteful number, since it uses less digits than its factorization.

220934636640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51142301 (or 51142287 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 220934636640 in words is "two hundred twenty billion, nine hundred thirty-four million, six hundred thirty-six thousand, six hundred forty".