220632361769664 has 784 divisors, whose sum is σ = 732988042987200. Its totient is φ = 65394357460992.

The previous prime is 220632361769627. The next prime is 220632361769683. The reversal of 220632361769664 is 466967163236022.

220632361769664 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 3 + 2 + 3 + 617 + 6 + 9 + 6 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7721693682 + ... + 7721722254.

It is an arithmetic number, because the mean of its divisors is an integer number (934933728300).

Almost surely, 2^{220632361769664} is an apocalyptic number.

220632361769664 is a gapful number since it is divisible by the number (24) 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 220632361769664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366494021493600).

220632361769664 is an abundant number, since it is smaller than the sum of its proper divisors (512355681217536).

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

220632361769664 is a wasteful number, since it uses less digits than its factorization.

220632361769664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29084 (or 29059 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 63.

The spelling of 220632361769664 in words is "two hundred twenty trillion, six hundred thirty-two billion, three hundred sixty-one million, seven hundred sixty-nine thousand, six hundred sixty-four".