74028311330688 has 768 divisors, whose sum is σ = 273275974195200. Its totient is φ = 19489119436800.

The previous prime is 74028311330683. The next prime is 74028311330693. The reversal of 74028311330688 is 88603311382047.

It is a happy number.

74028311330688 is a `hidden beast` number, since 7 + 40 + 283 + 1 + 13 + 306 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (74028311330683) and next prime (74028311330693).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74028311330683) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108881073 + ... + 109558863.

It is an arithmetic number, because the mean of its divisors is an integer number (355828091400).

Almost surely, 2^{74028311330688} is an apocalyptic number.

74028311330688 is a gapful number since it is divisible by the number (78) 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 74028311330688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136637987097600).

74028311330688 is an abundant number, since it is smaller than the sum of its proper divisors (199247662864512).

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

74028311330688 is a wasteful number, since it uses less digits than its factorization.

74028311330688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677868 (or 677837 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 74028311330688 in words is "seventy-four trillion, twenty-eight billion, three hundred eleven million, three hundred thirty thousand, six hundred eighty-eight".