74193961600 has 192 divisors, whose sum is σ = 206397146880. Its totient is φ = 26108928000.

The previous prime is 74193961549. The next prime is 74193961687. The reversal of 74193961600 is 616939147.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 1057204 + ... + 1125196.

It is an arithmetic number, because the mean of its divisors is an integer number (1074985140).

Almost surely, 2^74193961600 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 74193961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103198573440).

74193961600 is an abundant number, since it is smaller than the sum of its proper divisors (132203185280).

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

74193961600 is a wasteful number, since it uses less digits than its factorization.

74193961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68059 (or 68042 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 46.

The spelling of 74193961600 in words is "seventy-four billion, one hundred ninety-three million, nine hundred sixty-one thousand, six hundred".