75481804800 has 624 divisors, whose sum is σ = 289591822080. Its totient is φ = 19237109760.

The previous prime is 75481804751. The next prime is 75481804819. The reversal of 75481804800 is 840818457.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63589807 + ... + 63590993.

Almost surely, 2^75481804800 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 75481804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144795911040).

75481804800 is an abundant number, since it is smaller than the sum of its proper divisors (214110017280).

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

75481804800 is a wasteful number, since it uses less digits than its factorization.

75481804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 75481804800 in words is "seventy-five billion, four hundred eighty-one million, eight hundred four thousand, eight hundred".