220399964928 has 576 divisors, whose sum is σ = 790515855360. Its totient is φ = 59653324800.

The previous prime is 220399964927. The next prime is 220399964929. The reversal of 220399964928 is 829469993022.

220399964928 is a `hidden beast` number, since 2 + 20 + 39 + 9 + 96 + 492 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (220399964927) and next prime (220399964929).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×220399964928² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220399964921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30637300 + ... + 30644492.

It is an arithmetic number, because the mean of its divisors is an integer number (1372423360).

Almost surely, 2^220399964928 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 220399964928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395257927680).

220399964928 is an abundant number, since it is smaller than the sum of its proper divisors (570115890432).

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

220399964928 is a wasteful number, since it uses less digits than its factorization.

220399964928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7273 (or 7253 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 220399964928 in words is "two hundred twenty billion, three hundred ninety-nine million, nine hundred sixty-four thousand, nine hundred twenty-eight".