220155763968 has 576 divisors, whose sum is σ = 794471731200. Its totient is φ = 58734305280.

The previous prime is 220155763957. The next prime is 220155763973. The reversal of 220155763968 is 869367551022.

220155763968 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 5 + 576 + 3 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65268330 + ... + 65271702.

It is an arithmetic number, because the mean of its divisors is an integer number (1379291200).

Almost surely, 2^220155763968 is an apocalyptic number.

220155763968 is a gapful number since it is divisible by the number (28) 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 220155763968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397235865600).

220155763968 is an abundant number, since it is smaller than the sum of its proper divisors (574315967232).

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

220155763968 is a wasteful number, since it uses less digits than its factorization.

220155763968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 220155763968 in words is "two hundred twenty billion, one hundred fifty-five million, seven hundred sixty-three thousand, nine hundred sixty-eight".