74451484800 has 2304 divisors, whose sum is σ = 370090598400. Its totient is φ = 14183424000.

The previous prime is 74451484763. The next prime is 74451484859. The reversal of 74451484800 is 848415447.

74451484800 is a `hidden beast` number, since 7 + 44 + 51 + 484 + 80 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2401660785 + ... + 2401660815.

It is an arithmetic number, because the mean of its divisors is an integer number (160629600).

Almost surely, 2^74451484800 is an apocalyptic number.

74451484800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74451484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185045299200).

74451484800 is an abundant number, since it is smaller than the sum of its proper divisors (295639113600).

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

74451484800 is a wasteful number, since it uses less digits than its factorization.

74451484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 74451484800 in words is "seventy-four billion, four hundred fifty-one million, four hundred eighty-four thousand, eight hundred".