74632265344 has 192 divisors, whose sum is σ = 186859983240. Its totient is φ = 29429858304.

The previous prime is 74632265341. The next prime is 74632265353. The reversal of 74632265344 is 44356223647.

It can be written as a sum of positive squares in 4 ways, for example, as 52024135744 + 22608129600 = 228088^2 + 150360^2 .

It is a junction number, because it is equal to n+sod(n) for n = 74632265294 and 74632265303.

It is not an unprimeable number, because it can be changed into a prime (74632265341) 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 23 ways as a sum of consecutive naturals, for example, 28780912 + ... + 28783504.

Almost surely, 2^74632265344 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 74632265344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93429991620).

74632265344 is an abundant number, since it is smaller than the sum of its proper divisors (112227717896).

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

74632265344 is a wasteful number, since it uses less digits than its factorization.

74632265344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2968 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 46.

The spelling of 74632265344 in words is "seventy-four billion, six hundred thirty-two million, two hundred sixty-five thousand, three hundred forty-four".