725426896896 has 588 divisors, whose sum is σ = 2374704740548. Its totient is φ = 220150628352.

The previous prime is 725426896889. The next prime is 725426896903. The reversal of 725426896896 is 698698624527.

It is a happy number.

725426896896 is a `hidden beast` number, since 7 + 25 + 426 + 8 + 96 + 8 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (725426896889) and next prime (725426896903).

It can be written as a sum of positive squares in 2 ways, for example, as 247669456896 + 477757440000 = 497664^2 + 691200^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (627056640) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 9937354716 + ... + 9937354788.

Almost surely, 2^725426896896 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 725426896896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187352370274).

725426896896 is an abundant number, since it is smaller than the sum of its proper divisors (1649277843652).

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

725426896896 is an frugal number, since it uses more digits than its factorization.

725426896896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 91 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 725426896896 in words is "seven hundred twenty-five billion, four hundred twenty-six million, eight hundred ninety-six thousand, eight hundred ninety-six".