74220966144 has 360 divisors, whose sum is σ = 248720885952. Its totient is φ = 21842472960.

The previous prime is 74220966137. The next prime is 74220966173. The reversal of 74220966144 is 44166902247.

74220966144 is a `hidden beast` number, since 7 + 4 + 2 + 20 + 9 + 6 + 614 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 74220966144.

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 39 ways as a sum of consecutive naturals, for example, 6194079 + ... + 6206049.

Almost surely, 2^74220966144 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 74220966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124360442976).

74220966144 is an abundant number, since it is smaller than the sum of its proper divisors (174499919808).

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

74220966144 is a wasteful number, since it uses less digits than its factorization.

74220966144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12035 (or 12012 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 74220966144 in words is "seventy-four billion, two hundred twenty million, nine hundred sixty-six thousand, one hundred forty-four".