726714983904 has 384 divisors, whose sum is σ = 2534429399040. Its totient is φ = 177004929024.

The previous prime is 726714983837. The next prime is 726714984001. The reversal of 726714983904 is 409389417627.

It is a super-2 number, since 2×726714983904² (a number of 25 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 5764554 + ... + 5889270.

It is an arithmetic number, because the mean of its divisors is an integer number (6600076560).

Almost surely, 2^726714983904 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 726714983904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267214699520).

726714983904 is an abundant number, since it is smaller than the sum of its proper divisors (1807714415136).

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

726714983904 is a wasteful number, since it uses less digits than its factorization.

726714983904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124802 (or 124794 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 726714983904 in words is "seven hundred twenty-six billion, seven hundred fourteen million, nine hundred eighty-three thousand, nine hundred four".