726726429056 has 64 divisors (see below), whose sum is σ = 1556399232000. Its totient is φ = 336914551296.

The previous prime is 726726429031. The next prime is 726726429127. The reversal of 726726429056 is 650924627627.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×726726429056² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 726726428992 and 726726429010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3064616 + ... + 3293223.

It is an arithmetic number, because the mean of its divisors is an integer number (24318738000).

Almost surely, 2^726726429056 is an apocalyptic number.

726726429056 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

726726429056 is an abundant number, since it is smaller than the sum of its proper divisors (829672802944).

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

726726429056 is a wasteful number, since it uses less digits than its factorization.

726726429056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6357919 (or 6357907 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 56.

The spelling of 726726429056 in words is "seven hundred twenty-six billion, seven hundred twenty-six million, four hundred twenty-nine thousand, fifty-six".