74856628224 has 768 divisors, whose sum is σ = 274806604800. Its totient is φ = 19874709504.

The previous prime is 74856628201. The next prime is 74856628271. The reversal of 74856628224 is 42282665847.

74856628224 is a `hidden beast` number, since 7 + 4 + 8 + 5 + 6 + 628 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 947552217 + ... + 947552295.

It is an arithmetic number, because the mean of its divisors is an integer number (357821100).

Almost surely, 2^74856628224 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 74856628224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137403302400).

74856628224 is an abundant number, since it is smaller than the sum of its proper divisors (199949976576).

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

74856628224 is an frugal number, since it uses more digits than its factorization.

74856628224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 108 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 74856628224 in words is "seventy-four billion, eight hundred fifty-six million, six hundred twenty-eight thousand, two hundred twenty-four".