727832307875904 has 5376 divisors, whose sum is σ = 3042186854400000. Its totient is φ = 168026097254400.

The previous prime is 727832307875903. The next prime is 727832307875971. The reversal of 727832307875904 is 409578703238727.

727832307875904 is a `hidden beast` number, since 7 + 2 + 7 + 8 + 3 + 23 + 0 + 7 + 8 + 7 + 590 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (727832307875903) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 3657448783197 + ... + 3657448783395.

Almost surely, 2^{727832307875904} 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 727832307875904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521093427200000).

727832307875904 is an abundant number, since it is smaller than the sum of its proper divisors (2314354546524096).

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

727832307875904 is a wasteful number, since it uses less digits than its factorization.

727832307875904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 995742720, while the sum is 72.

The spelling of 727832307875904 in words is "seven hundred twenty-seven trillion, eight hundred thirty-two billion, three hundred seven million, eight hundred seventy-five thousand, nine hundred four".