726857838720 has 384 divisors, whose sum is σ = 2723672952000. Its totient is φ = 177550663680.

The previous prime is 726857838709. The next prime is 726857838799. The reversal of 726857838720 is 27838758627.

726857838720 is a `hidden beast` number, since 7 + 2 + 6 + 8 + 578 + 38 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9772231 + ... + 9846329.

Almost surely, 2^726857838720 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 726857838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361836476000).

726857838720 is an abundant number, since it is smaller than the sum of its proper divisors (1996815113280).

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

726857838720 is a wasteful number, since it uses less digits than its factorization.

726857838720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74268 (or 74253 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 726857838720 in words is "seven hundred twenty-six billion, eight hundred fifty-seven million, eight hundred thirty-eight thousand, seven hundred twenty".