745403671829640 has 1024 divisors, whose sum is σ = 2500336395878400. Its totient is φ = 177013289779200.

The previous prime is 745403671829599. The next prime is 745403671829647. The reversal of 745403671829640 is 46928176304547.

It is a Sastry number since concatenated with its successor gives a square.

It is not an unprimeable number, because it can be changed into a prime (745403671829647) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 547688222560 + ... + 547688223920.

It is an arithmetic number, because the mean of its divisors is an integer number (2441734761600).

It is a 2-persistent number, because it is pandigital, and so is 2⋅745403671829640 = 1490807343659280, but 3⋅745403671829640 = 2236211015488920 is not.

Almost surely, 2^{745403671829640} 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 745403671829640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250168197939200).

745403671829640 is an abundant number, since it is smaller than the sum of its proper divisors (1754932724048760).

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

745403671829640 is a wasteful number, since it uses less digits than its factorization.

745403671829640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2598 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 66.

The spelling of 745403671829640 in words is "seven hundred forty-five trillion, four hundred three billion, six hundred seventy-one million, eight hundred twenty-nine thousand, six hundred forty".