724713871872 has 160 divisors (see below), whose sum is σ = 1961092767744. Its totient is φ = 237777612800.

The previous prime is 724713871831. The next prime is 724713871873. The reversal of 724713871872 is 278178317427.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (724713871873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70554097 + ... + 70564367.

Almost surely, 2^724713871872 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 724713871872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980546383872).

724713871872 is an abundant number, since it is smaller than the sum of its proper divisors (1236378895872).

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

724713871872 is a wasteful number, since it uses less digits than its factorization.

724713871872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11010 (or 10994 counting only the distinct ones).

The product of its digits is 7375872, while the sum is 57.

The spelling of 724713871872 in words is "seven hundred twenty-four billion, seven hundred thirteen million, eight hundred seventy-one thousand, eight hundred seventy-two".