726830772304 has 160 divisors (see below), whose sum is σ = 1836593450496. Its totient is φ = 270412922880.

The previous prime is 726830772293. The next prime is 726830772313. The reversal of 726830772304 is 403277038627.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33825244 + ... + 33846724.

Almost surely, 2^726830772304 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 726830772304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918296725248).

726830772304 is an abundant number, since it is smaller than the sum of its proper divisors (1109762678192).

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

726830772304 is a wasteful number, since it uses less digits than its factorization.

726830772304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22893 (or 22887 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 49.

The spelling of 726830772304 in words is "seven hundred twenty-six billion, eight hundred thirty million, seven hundred seventy-two thousand, three hundred four".