74676682752 has 240 divisors, whose sum is σ = 229505310720. Its totient is φ = 21155807232.

The previous prime is 74676682741. The next prime is 74676682753. The reversal of 74676682752 is 25728667647.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74676682753) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 43695274 + ... + 43696982.

It is an arithmetic number, because the mean of its divisors is an integer number (956272128).

Almost surely, 2^74676682752 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 74676682752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114752655360).

74676682752 is an abundant number, since it is smaller than the sum of its proper divisors (154828627968).

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

74676682752 is a wasteful number, since it uses less digits than its factorization.

74676682752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1848 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 60.

The spelling of 74676682752 in words is "seventy-four billion, six hundred seventy-six million, six hundred eighty-two thousand, seven hundred fifty-two".