220206084480 has 768 divisors, whose sum is σ = 844430745600. Its totient is φ = 52652851200.

The previous prime is 220206084473. The next prime is 220206084517. The reversal of 220206084480 is 84480602022.

It is a happy number.

220206084480 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 0 + 608 + 4 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159453390 + ... + 159454770.

It is an arithmetic number, because the mean of its divisors is an integer number (1099519200).

Almost surely, 2^220206084480 is an apocalyptic number.

220206084480 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 220206084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422215372800).

220206084480 is an abundant number, since it is smaller than the sum of its proper divisors (624224661120).

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

220206084480 is a wasteful number, since it uses less digits than its factorization.

220206084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 220206084480 in words is "two hundred twenty billion, two hundred six million, eighty-four thousand, four hundred eighty".