74840284800 has 768 divisors, whose sum is σ = 288662774400. Its totient is φ = 18911232000.

The previous prime is 74840284793. The next prime is 74840284879. The reversal of 74840284800 is 848204847.

It is a happy number.

74840284800 is a `hidden beast` number, since 74 + 84 + 0 + 28 + 480 + 0 = 666.

It is a super-2 number, since 2×74840284800² (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 131068515 + ... + 131069085.

Almost surely, 2^74840284800 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 74840284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144331387200).

74840284800 is an abundant number, since it is smaller than the sum of its proper divisors (213822489600).

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

74840284800 is a wasteful number, since it uses less digits than its factorization.

74840284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 74840284800 in words is "seventy-four billion, eight hundred forty million, two hundred eighty-four thousand, eight hundred".