74084320800 has 432 divisors, whose sum is σ = 308197274112. Its totient is φ = 16386969600.

The previous prime is 74084320799. The next prime is 74084320813. The reversal of 74084320800 is 802348047.

74084320800 is a `hidden beast` number, since 7 + 408 + 43 + 208 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1538692 + ... + 1586108.

It is an arithmetic number, because the mean of its divisors is an integer number (713419616).

Almost surely, 2^74084320800 is an apocalyptic number.

74084320800 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 74084320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154098637056).

74084320800 is an abundant number, since it is smaller than the sum of its proper divisors (234112953312).

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

74084320800 is a wasteful number, since it uses less digits than its factorization.

74084320800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47481 (or 47465 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 74084320800 its reverse (802348047), we get a palindrome (74886668847).

The spelling of 74084320800 in words is "seventy-four billion, eighty-four million, three hundred twenty thousand, eight hundred".