725173862400 has 1224 divisors, whose sum is σ = 2914777869360. Its totient is φ = 176664084480.

The previous prime is 725173862393. The next prime is 725173862407. The reversal of 725173862400 is 4268371527.

725173862400 is a `hidden beast` number, since 7 + 2 + 5 + 17 + 3 + 8 + 624 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (725173862393) and next prime (725173862407).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725173862407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7476019152 + ... + 7476019248.

Almost surely, 2^725173862400 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 725173862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457388934680).

725173862400 is an abundant number, since it is smaller than the sum of its proper divisors (2189604006960).

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

725173862400 is an equidigital number, since it uses as much as digits as its factorization.

725173862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 725173862400 in words is "seven hundred twenty-five billion, one hundred seventy-three million, eight hundred sixty-two thousand, four hundred".