745984051200 has 432 divisors, whose sum is σ = 2675976734340. Its totient is φ = 198605537280.

The previous prime is 745984051151. The next prime is 745984051229. The reversal of 745984051200 is 2150489547.

745984051200 is a `hidden beast` number, since 7 + 4 + 5 + 98 + 40 + 512 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 395027334144 + 350956717056 = 628512^2 + 592416^2 .

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 35 ways as a sum of consecutive naturals, for example, 450200772 + ... + 450202428.

Almost surely, 2^745984051200 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 745984051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337988367170).

745984051200 is an abundant number, since it is smaller than the sum of its proper divisors (1929992683140).

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

745984051200 is a wasteful number, since it uses less digits than its factorization.

745984051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 745984051200 in words is "seven hundred forty-five billion, nine hundred eighty-four million, fifty-one thousand, two hundred".