726702947568 has 200 divisors, whose sum is σ = 2285131585968. Its totient is φ = 221621557248.

The previous prime is 726702947543. The next prime is 726702947591. The reversal of 726702947568 is 865749207627.

726702947568 is a `hidden beast` number, since 7 + 2 + 6 + 7 + 0 + 29 + 47 + 568 = 666.

It is a super-2 number, since 2×726702947568² (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 (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1712971 + ... + 2094677.

Almost surely, 2^726702947568 is an apocalyptic number.

726702947568 is a gapful number since it is divisible by the number (78) 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 726702947568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142565792984).

726702947568 is an abundant number, since it is smaller than the sum of its proper divisors (1558428638400).

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

726702947568 is a wasteful number, since it uses less digits than its factorization.

726702947568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381853 (or 381838 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 726702947568 in words is "seven hundred twenty-six billion, seven hundred two million, nine hundred forty-seven thousand, five hundred sixty-eight".