727966600704 has 1920 divisors, whose sum is σ = 2852667417600. Its totient is φ = 180592312320.

The previous prime is 727966600649. The next prime is 727966600717. The reversal of 727966600704 is 407006669727.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17755282924 + ... + 17755282964.

It is an arithmetic number, because the mean of its divisors is an integer number (1485764280).

Almost surely, 2^727966600704 is an apocalyptic number.

727966600704 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 727966600704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426333708800).

727966600704 is an abundant number, since it is smaller than the sum of its proper divisors (2124700816896).

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

727966600704 is a wasteful number, since it uses less digits than its factorization.

727966600704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 727966600704 in words is "seven hundred twenty-seven billion, nine hundred sixty-six million, six hundred thousand, seven hundred four".