45750763887360 has 2304 divisors, whose sum is σ = 186321752064000. Its totient is φ = 9332832337920.

The previous prime is 45750763887349. The next prime is 45750763887403. The reversal of 45750763887360 is 6378836705754.

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 255 ways as a sum of consecutive naturals, for example, 146168574564 + ... + 146168574876.

It is an arithmetic number, because the mean of its divisors is an integer number (80868816000).

Almost surely, 2^{45750763887360} is an apocalyptic number.

45750763887360 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 45750763887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93160876032000).

45750763887360 is an abundant number, since it is smaller than the sum of its proper divisors (140570988176640).

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

45750763887360 is a wasteful number, since it uses less digits than its factorization.

45750763887360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 69.

The spelling of 45750763887360 in words is "forty-five trillion, seven hundred fifty billion, seven hundred sixty-three million, eight hundred eighty-seven thousand, three hundred sixty".