220664194920 has 640 divisors, whose sum is σ = 868674391200. Its totient is φ = 49734549504.

The previous prime is 220664194871. The next prime is 220664195029. The reversal of 220664194920 is 29491466022.

220664194920 is a `hidden beast` number, since 2 + 206 + 6 + 419 + 4 + 9 + 20 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 17823852036 + 202840342884 = 133506^2 + 450378^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26489316 + ... + 26497644.

Almost surely, 2^220664194920 is an apocalyptic number.

220664194920 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 220664194920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434337195600).

220664194920 is an abundant number, since it is smaller than the sum of its proper divisors (648010196280).

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

220664194920 is a wasteful number, since it uses less digits than its factorization.

220664194920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8419 (or 8406 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 220664194920 in words is "two hundred twenty billion, six hundred sixty-four million, one hundred ninety-four thousand, nine hundred twenty".