725346349824 has 72 divisors (see below), whose sum is σ = 1931587685440. Its totient is φ = 241643271168.

The previous prime is 725346349789. The next prime is 725346349829. The reversal of 725346349824 is 428943643527.

It is a happy number.

It is a super-2 number, since 2×725346349824² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (725346349829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1071387 + ... + 1612005.

Almost surely, 2^725346349824 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 725346349824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965793842720).

725346349824 is an abundant number, since it is smaller than the sum of its proper divisors (1206241335616).

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

725346349824 is a wasteful number, since it uses less digits than its factorization.

725346349824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542385 (or 542371 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 57.

The spelling of 725346349824 in words is "seven hundred twenty-five billion, three hundred forty-six million, three hundred forty-nine thousand, eight hundred twenty-four".