745760859840 has 168 divisors, whose sum is σ = 2565587510928. Its totient is φ = 198832281600.

The previous prime is 745760859827. The next prime is 745760859889. The reversal of 745760859840 is 48958067547.

745760859840 is a `hidden beast` number, since 7 + 4 + 576 + 0 + 8 + 59 + 8 + 4 + 0 = 666.

745760859840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×745760859840² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17549659 + ... + 17592101.

Almost surely, 2^745760859840 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 745760859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282793755464).

745760859840 is an abundant number, since it is smaller than the sum of its proper divisors (1819826651088).

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

745760859840 is a wasteful number, since it uses less digits than its factorization.

745760859840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48567 (or 48554 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 745760859840 in words is "seven hundred forty-five billion, seven hundred sixty million, eight hundred fifty-nine thousand, eight hundred forty".