722107975680 has 1344 divisors, whose sum is σ = 3200257831680. Its totient is φ = 152213520384.

The previous prime is 722107975661. The next prime is 722107975751. The reversal of 722107975680 is 86579701227.

It is a happy number.

722107975680 is a `hidden beast` number, since 7 + 2 + 2 + 1 + 0 + 79 + 7 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-4 number, since 4×722107975680⁴ (a number of 49 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 679310829 + ... + 679311891.

It is an arithmetic number, because the mean of its divisors is an integer number (2381144220).

Almost surely, 2^722107975680 is an apocalyptic number.

722107975680 is a gapful number since it is divisible by the number (70) 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 722107975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600128915840).

722107975680 is an abundant number, since it is smaller than the sum of its proper divisors (2478149856000).

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

722107975680 is a wasteful number, since it uses less digits than its factorization.

722107975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 722107975680 in words is "seven hundred twenty-two billion, one hundred seven million, nine hundred seventy-five thousand, six hundred eighty".