725087663668368 has 1280 divisors, whose sum is σ = 2971095517716480. Its totient is φ = 162941563699200.

The previous prime is 725087663668327. The next prime is 725087663668387. The reversal of 725087663668368 is 863866366780527.

725087663668368 is a `hidden beast` number, since 7 + 2 + 50 + 8 + 76 + 6 + 366 + 83 + 68 = 666.

725087663668368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1771469271 + ... + 1771878537.

It is an arithmetic number, because the mean of its divisors is an integer number (2321168373216).

Almost surely, 2^{725087663668368} is an apocalyptic number.

725087663668368 is a gapful number since it is divisible by the number (78) 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 725087663668368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485547758858240).

725087663668368 is an abundant number, since it is smaller than the sum of its proper divisors (2246007854048112).

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

725087663668368 is a wasteful number, since it uses less digits than its factorization.

725087663668368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409573 (or 409561 counting only the distinct ones).

The product of its (nonzero) digits is 17557585920, while the sum is 81.

The spelling of 725087663668368 in words is "seven hundred twenty-five trillion, eighty-seven billion, six hundred sixty-three million, six hundred sixty-eight thousand, three hundred sixty-eight".