725036106240 has 560 divisors, whose sum is σ = 2759826460248. Its totient is φ = 181961883648.

The previous prime is 725036106211. The next prime is 725036106269. The reversal of 725036106240 is 42601630527.

725036106240 is a `hidden beast` number, since 7 + 2 + 50 + 361 + 0 + 6 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (725036106211) and next prime (725036106269).

It can be written as a sum of positive squares in 4 ways, for example, as 560485806336 + 164550299904 = 748656^2 + 405648^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 725036106195 and 725036106204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 31714654 + ... + 31737506.

Almost surely, 2^725036106240 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 725036106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379913230124).

725036106240 is an abundant number, since it is smaller than the sum of its proper divisors (2034790354008).

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

725036106240 is an equidigital number, since it uses as much as digits as its factorization.

725036106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22911 (or 22880 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 725036106240 its reverse (42601630527), we get a palindrome (767637736767).

The spelling of 725036106240 in words is "seven hundred twenty-five billion, thirty-six million, one hundred six thousand, two hundred forty".