745468705595040 has 2304 divisors, whose sum is σ = 3090670210252800. Its totient is φ = 149801323069440.

The previous prime is 745468705595021. The next prime is 745468705595147. The reversal of 745468705595040 is 40595507864547.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 58244286561 + ... + 58244299359.

It is an arithmetic number, because the mean of its divisors is an integer number (1341436723200).

Almost surely, 2^{745468705595040} is an apocalyptic number.

745468705595040 is a gapful number since it is divisible by the number (70) 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 745468705595040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545335105126400).

745468705595040 is an abundant number, since it is smaller than the sum of its proper divisors (2345201504657760).

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

745468705595040 is a wasteful number, since it uses less digits than its factorization.

745468705595040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13043 (or 13028 counting only the distinct ones).

The product of its (nonzero) digits is 846720000, while the sum is 69.

The spelling of 745468705595040 in words is "seven hundred forty-five trillion, four hundred sixty-eight billion, seven hundred five million, five hundred ninety-five thousand, forty".