74735253747 has 128 divisors (see below), whose sum is σ = 145972592640. Its totient is φ = 36653472000.

The previous prime is 74735253713. The next prime is 74735253763.

74735253747 is a `hidden beast` number, since 7 + 4 + 73 + 525 + 3 + 7 + 47 = 666.

74735253747 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 74735253747 - 2⁶ = 74735253683 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 74735253693 and 74735253702.

It is not an unprimeable number, because it can be changed into a prime (74735253767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2628268 + ... + 2656550.

It is an arithmetic number, because the mean of its divisors is an integer number (1140410880).

Almost surely, 2^74735253747 is an apocalyptic number.

74735253747 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

74735253747 is a deficient number, since it is larger than the sum of its proper divisors (71237338893).

74735253747 is a wasteful number, since it uses less digits than its factorization.

74735253747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28382 (or 28376 counting only the distinct ones).

The product of its digits is 17287200, while the sum is 54.

The spelling of 74735253747 in words is "seventy-four billion, seven hundred thirty-five million, two hundred fifty-three thousand, seven hundred forty-seven".