727742686464 has 576 divisors, whose sum is σ = 2377763942400. Its totient is φ = 218526916608.

The previous prime is 727742686459. The next prime is 727742686507. The reversal of 727742686464 is 464686247727.

727742686464 is a `hidden beast` number, since 7 + 2 + 7 + 74 + 26 + 86 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 595046557 + ... + 595047779.

It is an arithmetic number, because the mean of its divisors is an integer number (4128062400).

Almost surely, 2^727742686464 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 727742686464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188881971200).

727742686464 is an abundant number, since it is smaller than the sum of its proper divisors (1650021255936).

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

727742686464 is a wasteful number, since it uses less digits than its factorization.

727742686464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1467 counting only the distinct ones).

The product of its digits is 151732224, while the sum is 63.

The spelling of 727742686464 in words is "seven hundred twenty-seven billion, seven hundred forty-two million, six hundred eighty-six thousand, four hundred sixty-four".