74971116000 has 576 divisors, whose sum is σ = 300011100480. Its totient is φ = 18171648000.

The previous prime is 74971115963. The next prime is 74971116001. The reversal of 74971116000 is 61117947.

74971116000 is a `hidden beast` number, since 7 + 49 + 7 + 1 + 1 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74971116001) 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, 13065132 + ... + 13070868.

It is an arithmetic number, because the mean of its divisors is an integer number (520852605).

Almost surely, 2^74971116000 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 74971116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150005550240).

74971116000 is an abundant number, since it is smaller than the sum of its proper divisors (225039984480).

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

74971116000 is a wasteful number, since it uses less digits than its factorization.

74971116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5793 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 74971116000 in words is "seventy-four billion, nine hundred seventy-one million, one hundred sixteen thousand".