727766760960 has 640 divisors, whose sum is σ = 2647532511360. Its totient is φ = 189423157248.

The previous prime is 727766760911. The next prime is 727766760977. The reversal of 727766760960 is 69067667727.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 941483134 + ... + 941483906.

It is an arithmetic number, because the mean of its divisors is an integer number (4136769549).

Almost surely, 2^727766760960 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 727766760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323766255680).

727766760960 is an abundant number, since it is smaller than the sum of its proper divisors (1919765750400).

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

727766760960 is a wasteful number, since it uses less digits than its factorization.

727766760960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 56010528, while the sum is 63.

The spelling of 727766760960 in words is "seven hundred twenty-seven billion, seven hundred sixty-six million, seven hundred sixty thousand, nine hundred sixty".