726713809920 has 396 divisors, whose sum is σ = 2929162821624. Its totient is φ = 166105497600.

The previous prime is 726713809891. The next prime is 726713809951. The reversal of 726713809920 is 29908317627.

It is a super-2 number, since 2×726713809920² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2096995 + ... + 2418845.

Almost surely, 2^726713809920 is an apocalyptic number.

726713809920 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 726713809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464581410812).

726713809920 is an abundant number, since it is smaller than the sum of its proper divisors (2202449011704).

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

726713809920 is a wasteful number, since it uses less digits than its factorization.

726713809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321896 (or 321868 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 726713809920 in words is "seven hundred twenty-six billion, seven hundred thirteen million, eight hundred nine thousand, nine hundred twenty".