745390213920 has 576 divisors, whose sum is σ = 2947914103680. Its totient is φ = 176289177600.

The previous prime is 745390213913. The next prime is 745390213937. The reversal of 745390213920 is 29312093547.

745390213920 is a `hidden beast` number, since 7 + 4 + 539 + 0 + 21 + 3 + 92 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17513626 + ... + 17556134.

It is an arithmetic number, because the mean of its divisors is an integer number (5117906430).

Almost surely, 2^745390213920 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 745390213920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473957051840).

745390213920 is an abundant number, since it is smaller than the sum of its proper divisors (2202523889760).

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

745390213920 is a wasteful number, since it uses less digits than its factorization.

745390213920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42591 (or 42571 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 745390213920 in words is "seven hundred forty-five billion, three hundred ninety million, two hundred thirteen thousand, nine hundred twenty".