74114008320 has 288 divisors, whose sum is σ = 271813409280. Its totient is φ = 17021214720.

The previous prime is 74114008259. The next prime is 74114008321. The reversal of 74114008320 is 2380041147.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74114008321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 756387 + ... + 848733.

It is an arithmetic number, because the mean of its divisors is an integer number (943796560).

Almost surely, 2^74114008320 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 74114008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135906704640).

74114008320 is an abundant number, since it is smaller than the sum of its proper divisors (197699400960).

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

74114008320 is a wasteful number, since it uses less digits than its factorization.

74114008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92401 (or 92387 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

Adding to 74114008320 its reverse (2380041147), we get a palindrome (76494049467).

The spelling of 74114008320 in words is "seventy-four billion, one hundred fourteen million, eight thousand, three hundred twenty".