727147066464 has 768 divisors, whose sum is σ = 2690212331520. Its totient is φ = 185960448000.

The previous prime is 727147066453. The next prime is 727147066519. The reversal of 727147066464 is 464660741727.

727147066464 is a `hidden beast` number, since 7 + 2 + 71 + 470 + 66 + 46 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 727147066464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 615703954 + ... + 615705134.

It is an arithmetic number, because the mean of its divisors is an integer number (3502880640).

Almost surely, 2^727147066464 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 727147066464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345106165760).

727147066464 is an abundant number, since it is smaller than the sum of its proper divisors (1963065265056).

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

727147066464 is a wasteful number, since it uses less digits than its factorization.

727147066464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 727147066464 in words is "seven hundred twenty-seven billion, one hundred forty-seven million, sixty-six thousand, four hundred sixty-four".