8204220432 has 240 divisors, whose sum is σ = 25166389248. Its totient is φ = 2583342720.

The previous prime is 8204220301. The next prime is 8204220443. The reversal of 8204220432 is 2340224028.

8204220432 is a `hidden beast` number, since 8 + 2 + 0 + 4 + 220 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 8204220396 and 8204220405.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5181913 + ... + 5183495.

Almost surely, 2^8204220432 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 8204220432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12583194624).

8204220432 is an abundant number, since it is smaller than the sum of its proper divisors (16962168816).

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

8204220432 is a wasteful number, since it uses less digits than its factorization.

8204220432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 8204220432 is about 90577.1518209752. The cubic root of 8204220432 is about 2016.8755763029.

The spelling of 8204220432 in words is "eight billion, two hundred four million, two hundred twenty thousand, four hundred thirty-two".