722827496160 has 1728 divisors, whose sum is σ = 3333856361472. Its totient is φ = 139087872000.

The previous prime is 722827496147. The next prime is 722827496201. The reversal of 722827496160 is 61694728227.

722827496160 is a `hidden beast` number, since 7 + 228 + 274 + 96 + 1 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 722827496097 and 722827496106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1472153515 + ... + 1472154005.

It is an arithmetic number, because the mean of its divisors is an integer number (1929315024).

Almost surely, 2^722827496160 is an apocalyptic number.

722827496160 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 722827496160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666928180736).

722827496160 is an abundant number, since it is smaller than the sum of its proper divisors (2611028865312).

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

722827496160 is a wasteful number, since it uses less digits than its factorization.

722827496160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 722827496160 in words is "seven hundred twenty-two billion, eight hundred twenty-seven million, four hundred ninety-six thousand, one hundred sixty".