727083837942 has 256 divisors, whose sum is σ = 2035263283200. Its totient is φ = 167172802560.

The previous prime is 727083837941. The next prime is 727083837983. The reversal of 727083837942 is 249738380727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727083837941) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20724888 + ... + 20759940.

It is an arithmetic number, because the mean of its divisors is an integer number (7950247200).

Almost surely, 2^727083837942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 727083837942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017631641600).

727083837942 is an abundant number, since it is smaller than the sum of its proper divisors (1308179445258).

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

727083837942 is a wasteful number, since it uses less digits than its factorization.

727083837942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35251.

The product of its (nonzero) digits is 28449792, while the sum is 60.

The spelling of 727083837942 in words is "seven hundred twenty-seven billion, eighty-three million, eight hundred thirty-seven thousand, nine hundred forty-two".