726414646304400 has 120 divisors (see below), whose sum is σ = 2326954616872704. Its totient is φ = 193710042355200.

The previous prime is 726414646304353. The next prime is 726414646304423. The reversal of 726414646304400 is 4403646414627.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 652864545 + ... + 653976255.

Almost surely, 2^{726414646304400} is an apocalyptic number.

It is an amenable number.

726414646304400 is an abundant number, since it is smaller than the sum of its proper divisors (1600539970568304).

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

726414646304400 is a wasteful number, since it uses less digits than its factorization.

726414646304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656249 (or 1656238 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 51.

The spelling of 726414646304400 in words is "seven hundred twenty-six trillion, four hundred fourteen billion, six hundred forty-six million, three hundred four thousand, four hundred".