725529697040 has 40 divisors (see below), whose sum is σ = 1686917220120. Its totient is φ = 290201440256.

The previous prime is 725529697019. The next prime is 725529697063. The reversal of 725529697040 is 40796925527.

It can be written as a sum of positive squares in 4 ways, for example, as 154163028496 + 571366668544 = 392636^2 + 755888^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×725529697040³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2307362 + ... + 2602878.

It is an arithmetic number, because the mean of its divisors is an integer number (42172930503).

Almost surely, 2^725529697040 is an apocalyptic number.

It is an amenable number.

725529697040 is an abundant number, since it is smaller than the sum of its proper divisors (961387523080).

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

725529697040 is a wasteful number, since it uses less digits than its factorization.

725529697040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326219 (or 326213 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 56.

The spelling of 725529697040 in words is "seven hundred twenty-five billion, five hundred twenty-nine million, six hundred ninety-seven thousand, forty".