725591281408 has 288 divisors, whose sum is σ = 1770819563520. Its totient is φ = 290184560640.

The previous prime is 725591281397. The next prime is 725591281417. The reversal of 725591281408 is 804182195527.

It is a super-3 number, since 3×725591281408³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173709016 + ... + 173713192.

It is an arithmetic number, because the mean of its divisors is an integer number (6148679040).

Almost surely, 2^725591281408 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 725591281408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885409781760).

725591281408 is an abundant number, since it is smaller than the sum of its proper divisors (1045228282112).

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

725591281408 is a wasteful number, since it uses less digits than its factorization.

725591281408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4343 (or 4329 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 52.

The spelling of 725591281408 in words is "seven hundred twenty-five billion, five hundred ninety-one million, two hundred eighty-one thousand, four hundred eight".