726929765760 has 128 divisors (see below), whose sum is σ = 2527733122560. Its totient is φ = 176225392640.

The previous prime is 726929765741. The next prime is 726929765777. The reversal of 726929765760 is 67567929627.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 726929765691 and 726929765700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17188392 + ... + 17230631.

It is an arithmetic number, because the mean of its divisors is an integer number (19747915020).

Almost surely, 2^726929765760 is an apocalyptic number.

It is an amenable number.

726929765760 is an abundant number, since it is smaller than the sum of its proper divisors (1800803356800).

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

726929765760 is a wasteful number, since it uses less digits than its factorization.

726929765760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34419056 (or 34419044 counting only the distinct ones).

The product of its (nonzero) digits is 120022560, while the sum is 66.

The spelling of 726929765760 in words is "seven hundred twenty-six billion, nine hundred twenty-nine million, seven hundred sixty-five thousand, seven hundred sixty".