74067406728 has 128 divisors (see below), whose sum is σ = 212726891520. Its totient is φ = 21051866880.

The previous prime is 74067406723. The next prime is 74067406739. The reversal of 74067406728 is 82760476047.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (74067406723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29262823 + ... + 29265353.

It is an arithmetic number, because the mean of its divisors is an integer number (1661928840).

Almost surely, 2^74067406728 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 74067406728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106363445760).

74067406728 is an abundant number, since it is smaller than the sum of its proper divisors (138659484792).

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

74067406728 is a wasteful number, since it uses less digits than its factorization.

74067406728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 51.

The spelling of 74067406728 in words is "seventy-four billion, sixty-seven million, four hundred six thousand, seven hundred twenty-eight".