726160088181600 has 4608 divisors, whose sum is σ = 3022078574592000. Its totient is φ = 167382319104000.

The previous prime is 726160088181581. The next prime is 726160088181613. The reversal of 726160088181600 is 6181880061627.

It is a happy number.

726160088181600 is a `hidden beast` number, since 7 + 2 + 6 + 1 + 600 + 8 + 8 + 18 + 16 + 0 + 0 = 666.

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 767 ways as a sum of consecutive naturals, for example, 3441517005495 + ... + 3441517005705.

It is an arithmetic number, because the mean of its divisors is an integer number (655833024000).

Almost surely, 2^{726160088181600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726160088181600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511039287296000).

726160088181600 is an abundant number, since it is smaller than the sum of its proper divisors (2295918486410400).

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

726160088181600 is a wasteful number, since it uses less digits than its factorization.

726160088181600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 726160088181600 in words is "seven hundred twenty-six trillion, one hundred sixty billion, eighty-eight million, one hundred eighty-one thousand, six hundred".