745612084800 has 672 divisors, whose sum is σ = 3139579232640. Its totient is φ = 170119987200.

The previous prime is 745612084753. The next prime is 745612084801. The reversal of 745612084800 is 8480216547.

745612084800 is a `hidden beast` number, since 7 + 4 + 561 + 2 + 0 + 8 + 4 + 80 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (745612084801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8032252 + ... + 8124548.

Almost surely, 2^745612084800 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 745612084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569789616320).

745612084800 is an abundant number, since it is smaller than the sum of its proper divisors (2393967147840).

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

745612084800 is a wasteful number, since it uses less digits than its factorization.

745612084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92356 (or 92335 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 745612084800 in words is "seven hundred forty-five billion, six hundred twelve million, eighty-four thousand, eight hundred".