74610423889920 has 924 divisors, whose sum is σ = 269710387419396. Its totient is φ = 19813556551680.

The previous prime is 74610423889919. The next prime is 74610423890027. The reversal of 74610423889920 is 2998832401647.

74610423889920 is a `hidden beast` number, since 7 + 4 + 610 + 4 + 2 + 3 + 8 + 8 + 9 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41856138215424 + 32754285674496 = 6469632^2 + 5723136^2 .

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 43 ways as a sum of consecutive naturals, for example, 309586821000 + ... + 309586821240.

It is an arithmetic number, because the mean of its divisors is an integer number (291894358679).

Almost surely, 2^{74610423889920} 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 74610423889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134855193709698).

74610423889920 is an abundant number, since it is smaller than the sum of its proper divisors (195099963529476).

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

74610423889920 is an frugal number, since it uses more digits than its factorization.

74610423889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 74610423889920 in words is "seventy-four trillion, six hundred ten billion, four hundred twenty-three million, eight hundred eighty-nine thousand, nine hundred twenty".