727963925832 has 768 divisors, whose sum is σ = 2431028920320. Its totient is φ = 195480552960.

The previous prime is 727963925813. The next prime is 727963925861. The reversal of 727963925832 is 238529369727.

It is a self number, because there is not a number n which added to its sum of digits gives 727963925832.

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, 5731999353 + ... + 5731999479.

It is an arithmetic number, because the mean of its divisors is an integer number (3165402240).

Almost surely, 2^727963925832 is an apocalyptic number.

727963925832 is a gapful number since it is divisible by the number (72) 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 727963925832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215514460160).

727963925832 is an abundant number, since it is smaller than the sum of its proper divisors (1703064994488).

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

727963925832 is a wasteful number, since it uses less digits than its factorization.

727963925832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 306 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 727963925832 in words is "seven hundred twenty-seven billion, nine hundred sixty-three million, nine hundred twenty-five thousand, eight hundred thirty-two".