725816322000 has 1440 divisors, whose sum is σ = 3325950875520. Its totient is φ = 150752448000.

The previous prime is 725816321963. The next prime is 725816322017. The reversal of 725816322000 is 223618527.

725816322000 is a `hidden beast` number, since 72 + 581 + 6 + 3 + 2 + 2 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 320164867 + ... + 320167133.

It is an arithmetic number, because the mean of its divisors is an integer number (2309688108).

Almost surely, 2^725816322000 is an apocalyptic number.

725816322000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725816322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662975437760).

725816322000 is an abundant number, since it is smaller than the sum of its proper divisors (2600134553520).

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

725816322000 is a wasteful number, since it uses less digits than its factorization.

725816322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 725816322000 in words is "seven hundred twenty-five billion, eight hundred sixteen million, three hundred twenty-two thousand".