74583042240 has 448 divisors, whose sum is σ = 276555525120. Its totient is φ = 16677273600.

The previous prime is 74583042227. The next prime is 74583042253. The reversal of 74583042240 is 4224038547.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (74583042227) and next prime (74583042253).

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 124097940 + ... + 124098540.

It is an arithmetic number, because the mean of its divisors is an integer number (617311440).

Almost surely, 2^74583042240 is an apocalyptic number.

74583042240 is a gapful number since it is divisible by the number (70) 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 74583042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138277762560).

74583042240 is an abundant number, since it is smaller than the sum of its proper divisors (201972482880).

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

74583042240 is a wasteful number, since it uses less digits than its factorization.

74583042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

The spelling of 74583042240 in words is "seventy-four billion, five hundred eighty-three million, forty-two thousand, two hundred forty".