745374389760 has 3840 divisors, whose sum is σ = 3855803212800. Its totient is φ = 135444234240.

The previous prime is 745374389707. The next prime is 745374389789. The reversal of 745374389760 is 67983473547.

745374389760 is a `hidden beast` number, since 7 + 4 + 53 + 7 + 438 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 39230231031 + ... + 39230231049.

It is an arithmetic number, because the mean of its divisors is an integer number (1004115420).

Almost surely, 2^745374389760 is an apocalyptic number.

745374389760 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 745374389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927901606400).

745374389760 is an abundant number, since it is smaller than the sum of its proper divisors (3110428823040).

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

745374389760 is a wasteful number, since it uses less digits than its factorization.

745374389760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 745374389760 in words is "seven hundred forty-five billion, three hundred seventy-four million, three hundred eighty-nine thousand, seven hundred sixty".