220272706080 has 1152 divisors, whose sum is σ = 932015185920. Its totient is φ = 46262845440.

The previous prime is 220272706063. The next prime is 220272706111. The reversal of 220272706080 is 80607272022.

220272706080 is a `hidden beast` number, since 2 + 2 + 0 + 27 + 27 + 0 + 608 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1318998157 + ... + 1318998323.

It is an arithmetic number, because the mean of its divisors is an integer number (809040960).

Almost surely, 2^220272706080 is an apocalyptic number.

220272706080 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 220272706080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466007592960).

220272706080 is an abundant number, since it is smaller than the sum of its proper divisors (711742479840).

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

220272706080 is a wasteful number, since it uses less digits than its factorization.

220272706080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 220272706080 in words is "two hundred twenty billion, two hundred seventy-two million, seven hundred six thousand, eighty".