727951117153920 has 512 divisors, whose sum is σ = 2618817640704000. Its totient is φ = 170371624550400.

The previous prime is 727951117153913. The next prime is 727951117153937. The reversal of 727951117153920 is 29351711159727.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 7246200651 + ... + 7246301109.

It is an arithmetic number, because the mean of its divisors is an integer number (5114878204500).

Almost surely, 2^{727951117153920} 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 727951117153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309408820352000).

727951117153920 is an abundant number, since it is smaller than the sum of its proper divisors (1890866523550080).

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

727951117153920 is a wasteful number, since it uses less digits than its factorization.

727951117153920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112352 (or 112340 counting only the distinct ones).

The product of its (nonzero) digits is 8334900, while the sum is 60.

The spelling of 727951117153920 in words is "seven hundred twenty-seven trillion, nine hundred fifty-one billion, one hundred seventeen million, one hundred fifty-three thousand, nine hundred twenty".