220079462400 has 1944 divisors, whose sum is σ = 1003498701660. Its totient is φ = 47656304640.

The previous prime is 220079462399. The next prime is 220079462429. The reversal of 220079462400 is 4264970022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

220079462400 is a `hidden beast` number, since 2 + 20 + 0 + 7 + 9 + 4 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

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 161 ways as a sum of consecutive naturals, for example, 11583129591 + ... + 11583129609.

Almost surely, 2^220079462400 is an apocalyptic number.

220079462400 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 220079462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501749350830).

220079462400 is an abundant number, since it is smaller than the sum of its proper divisors (783419239260).

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

220079462400 is an equidigital number, since it uses as much as digits as its factorization.

220079462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 220079462400 in words is "two hundred twenty billion, seventy-nine million, four hundred sixty-two thousand, four hundred".