4000674073734 has 128 divisors (see below), whose sum is σ = 9648786026880. Its totient is φ = 1221428823552.

The previous prime is 4000674073733. The next prime is 4000674073751. The reversal of 4000674073734 is 4373704760004.

4000674073734 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4000674073734.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000674073733) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51544884 + ... + 51622440.

It is an arithmetic number, because the mean of its divisors is an integer number (75381140835).

Almost surely, 2^{4000674073734} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000674073734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4824393013440).

4000674073734 is an abundant number, since it is smaller than the sum of its proper divisors (5648111953146).

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

4000674073734 is a wasteful number, since it uses less digits than its factorization.

4000674073734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78151 (or 78145 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 45.

The spelling of 4000674073734 in words is "four trillion, six hundred seventy-four million, seventy-three thousand, seven hundred thirty-four".