74883916800 has 1980 divisors, whose sum is σ = 357132950064. Its totient is φ = 15328051200.

The previous prime is 74883916781. The next prime is 74883916813. The reversal of 74883916800 is 861938847.

It is a tau number, because it is divible by the number of its divisors (1980).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 179 ways as a sum of consecutive naturals, for example, 1117670367 + ... + 1117670433.

Almost surely, 2^74883916800 is an apocalyptic number.

74883916800 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 74883916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178566475032).

74883916800 is an abundant number, since it is smaller than the sum of its proper divisors (282249033264).

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

74883916800 is a wasteful number, since it uses less digits than its factorization.

74883916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 74883916800 in words is "seventy-four billion, eight hundred eighty-three million, nine hundred sixteen thousand, eight hundred".