9074742768 has 400 divisors, whose sum is σ = 32773492640. Its totient is φ = 2389782528.

The previous prime is 9074742763. The next prime is 9074742769. The reversal of 9074742768 is 8672474709.

9074742768 is a `hidden beast` number, since 90 + 7 + 474 + 27 + 68 = 666.

9074742768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (9074742763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13483680 + ... + 13484352.

Almost surely, 2^9074742768 is an apocalyptic number.

9074742768 is a gapful number since it is divisible by the number (98) 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 9074742768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16386746320).

9074742768 is an abundant number, since it is smaller than the sum of its proper divisors (23698749872).

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

9074742768 is a wasteful number, since it uses less digits than its factorization.

9074742768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The square root of 9074742768 is about 95261.4442888622. Note that the first 3 decimals coincide. The cubic root of 9074742768 is about 2085.8261494980.

The spelling of 9074742768 in words is "nine billion, seventy-four million, seven hundred forty-two thousand, seven hundred sixty-eight".