74213305120 has 96 divisors (see below), whose sum is σ = 186404343552. Its totient is φ = 27858834432.

The previous prime is 74213305079. The next prime is 74213305139. The reversal of 74213305120 is 2150331247.

It is a super-3 number, since 3×74213305120³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4789 + ... + 385291.

It is an arithmetic number, because the mean of its divisors is an integer number (1941711912).

Almost surely, 2^74213305120 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 74213305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93202171776).

74213305120 is an abundant number, since it is smaller than the sum of its proper divisors (112191038432).

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

74213305120 is a wasteful number, since it uses less digits than its factorization.

74213305120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380594 (or 380586 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

Adding to 74213305120 its reverse (2150331247), we get a palindrome (76363636367).

The spelling of 74213305120 in words is "seventy-four billion, two hundred thirteen million, three hundred five thousand, one hundred twenty".