726695697224952 has 2560 divisors, whose sum is σ = 2758502704742400. Its totient is φ = 173432955838464.

The previous prime is 726695697224941. The next prime is 726695697225007. The reversal of 726695697224952 is 259422796596627.

726695697224952 is a `hidden beast` number, since 7 + 2 + 6 + 6 + 9 + 56 + 9 + 72 + 2 + 495 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 446647631163 + ... + 446647632789.

It is an arithmetic number, because the mean of its divisors is an integer number (1077540119040).

Almost surely, 2^{726695697224952} is an apocalyptic number.

726695697224952 is a gapful number since it is divisible by the number (72) 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 726695697224952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379251352371200).

726695697224952 is an abundant number, since it is smaller than the sum of its proper divisors (2031807007517448).

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

726695697224952 is a wasteful number, since it uses less digits than its factorization.

726695697224952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1914 counting only the distinct ones).

The product of its digits is 12345177600, while the sum is 81.

The spelling of 726695697224952 in words is "seven hundred twenty-six trillion, six hundred ninety-five billion, six hundred ninety-seven million, two hundred twenty-four thousand, nine hundred fifty-two".