727233855360 has 512 divisors, whose sum is σ = 2504597760000. Its totient is φ = 178826379264.

The previous prime is 727233855353. The next prime is 727233855389. The reversal of 727233855360 is 63558332727.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 63 ways as a sum of consecutive naturals, for example, 358418826 + ... + 358420854.

It is an arithmetic number, because the mean of its divisors is an integer number (4891792500).

Almost surely, 2^727233855360 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 727233855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252298880000).

727233855360 is an abundant number, since it is smaller than the sum of its proper divisors (1777363904640).

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

727233855360 is a wasteful number, since it uses less digits than its factorization.

727233855360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 51.

The spelling of 727233855360 in words is "seven hundred twenty-seven billion, two hundred thirty-three million, eight hundred fifty-five thousand, three hundred sixty".