74609242560 has 896 divisors, whose sum is σ = 291125452800. Its totient is φ = 18139852800.

The previous prime is 74609242559. The next prime is 74609242607. The reversal of 74609242560 is 6524290647.

74609242560 is a `hidden beast` number, since 7 + 4 + 60 + 9 + 24 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 412205670 + ... + 412205850.

It is an arithmetic number, because the mean of its divisors is an integer number (324916800).

Almost surely, 2^74609242560 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 74609242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145562726400).

74609242560 is an abundant number, since it is smaller than the sum of its proper divisors (216516210240).

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

74609242560 is a wasteful number, since it uses less digits than its factorization.

74609242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 74609242560 in words is "seventy-four billion, six hundred nine million, two hundred forty-two thousand, five hundred sixty".