45760328730000 has 1600 divisors, whose sum is σ = 179420477068800. Its totient is φ = 11266117632000.

The previous prime is 45760328729911. The next prime is 45760328730013. The reversal of 45760328730000 is 3782306754.

45760328730000 is a `hidden beast` number, since 4 + 5 + 7 + 60 + 3 + 287 + 300 + 0 + 0 = 666.

45760328730000 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

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 319 ways as a sum of consecutive naturals, for example, 14587288432 + ... + 14587291568.

It is an arithmetic number, because the mean of its divisors is an integer number (112137798168).

Almost surely, 2^{45760328730000} is an apocalyptic number.

45760328730000 is a gapful number since it is divisible by the number (40) 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 45760328730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89710238534400).

45760328730000 is an abundant number, since it is smaller than the sum of its proper divisors (133660148338800).

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

45760328730000 is an equidigital number, since it uses as much as digits as its factorization.

45760328730000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 45760328730000 in words is "forty-five trillion, seven hundred sixty billion, three hundred twenty-eight million, seven hundred thirty thousand".