745384358400 has 720 divisors, whose sum is σ = 2762882226720. Its totient is φ = 175679078400.

The previous prime is 745384358333. The next prime is 745384358417. The reversal of 745384358400 is 4853483547.

It is a happy 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 71 ways as a sum of consecutive naturals, for example, 578264956 + ... + 578266244.

It is an arithmetic number, because the mean of its divisors is an integer number (3837336426).

Almost surely, 2^745384358400 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 745384358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381441113360).

745384358400 is an abundant number, since it is smaller than the sum of its proper divisors (2017497868320).

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

745384358400 is a wasteful number, since it uses less digits than its factorization.

745384358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 51.

The spelling of 745384358400 in words is "seven hundred forty-five billion, three hundred eighty-four million, three hundred fifty-eight thousand, four hundred".