220408478784 has 112 divisors (see below), whose sum is σ = 697803267840. Its totient is φ = 67817986560.

The previous prime is 220408478783. The next prime is 220408478809. The reversal of 220408478784 is 487874804022.

220408478784 is a `hidden beast` number, since 220 + 408 + 4 + 7 + 8 + 7 + 8 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 220408478784.

It is not an unprimeable number, because it can be changed into a prime (220408478783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4883352 + ... + 4928279.

It is an arithmetic number, because the mean of its divisors is an integer number (6230386320).

Almost surely, 2^220408478784 is an apocalyptic number.

220408478784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220408478784 is an abundant number, since it is smaller than the sum of its proper divisors (477394789056).

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

220408478784 is a wasteful number, since it uses less digits than its factorization.

220408478784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9811665 (or 9811649 counting only the distinct ones).

The product of its (nonzero) digits is 6422528, while the sum is 54.

The spelling of 220408478784 in words is "two hundred twenty billion, four hundred eight million, four hundred seventy-eight thousand, seven hundred eighty-four".