745333390800 has 840 divisors, whose sum is σ = 2949447384000. Its totient is φ = 180077230080.

The previous prime is 745333390799. The next prime is 745333390801. The reversal of 745333390800 is 8093333547.

745333390800 is a `hidden beast` number, since 7 + 4 + 533 + 3 + 39 + 0 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (745333390799) and next prime (745333390801).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745333390801) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 127426276 + ... + 127432124.

Almost surely, 2^745333390800 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 745333390800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474723692000).

745333390800 is an abundant number, since it is smaller than the sum of its proper divisors (2204113993200).

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

745333390800 is a wasteful number, since it uses less digits than its factorization.

745333390800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5927 (or 5901 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 745333390800 in words is "seven hundred forty-five billion, three hundred thirty-three million, three hundred ninety thousand, eight hundred".