726197875200 has 2880 divisors, whose sum is σ = 3407041756800. Its totient is φ = 150493593600.

The previous prime is 726197875199. The next prime is 726197875243. The reversal of 726197875200 is 2578791627.

It is a happy number.

726197875200 is a `hidden beast` number, since 7 + 26 + 1 + 97 + 8 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

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, 11904883170 + ... + 11904883230.

It is an arithmetic number, because the mean of its divisors is an integer number (1183000610).

Almost surely, 2^726197875200 is an apocalyptic number.

726197875200 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 726197875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703520878400).

726197875200 is an abundant number, since it is smaller than the sum of its proper divisors (2680843881600).

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

726197875200 is a wasteful number, since it uses less digits than its factorization.

726197875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 134 counting only the distinct ones).

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

The spelling of 726197875200 in words is "seven hundred twenty-six billion, one hundred ninety-seven million, eight hundred seventy-five thousand, two hundred".