727131936960 has 1344 divisors, whose sum is σ = 3209623004160. Its totient is φ = 153085870080.

The previous prime is 727131936913. The next prime is 727131936983. The reversal of 727131936960 is 69639131727.

It is a happy number.

727131936960 is a `hidden beast` number, since 7 + 271 + 3 + 1 + 9 + 369 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 727131936897 and 727131936906.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 273048589 + ... + 273051251.

Almost surely, 2^727131936960 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 727131936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604811502080).

727131936960 is an abundant number, since it is smaller than the sum of its proper divisors (2482491067200).

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

727131936960 is a wasteful number, since it uses less digits than its factorization.

727131936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The spelling of 727131936960 in words is "seven hundred twenty-seven billion, one hundred thirty-one million, nine hundred thirty-six thousand, nine hundred sixty".