727716371680 has 48 divisors (see below), whose sum is σ = 1719489404304. Its totient is φ = 291042616320.

The previous prime is 727716371671. The next prime is 727716371761. The reversal of 727716371680 is 86173617727.

727716371680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×727716371680² (a number of 25 digits) contains 22 as substring.

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, 730684 + ... + 1410436.

It is an arithmetic number, because the mean of its divisors is an integer number (35822695923).

Almost surely, 2^727716371680 is an apocalyptic number.

It is an amenable number.

727716371680 is an abundant number, since it is smaller than the sum of its proper divisors (991773032624).

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

727716371680 is a wasteful number, since it uses less digits than its factorization.

727716371680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686459 (or 686451 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 55.

The spelling of 727716371680 in words is "seven hundred twenty-seven billion, seven hundred sixteen million, three hundred seventy-one thousand, six hundred eighty".