74106330880 has 288 divisors, whose sum is σ = 189140313600. Its totient is φ = 27775942656.

The previous prime is 74106330871. The next prime is 74106330889. The reversal of 74106330880 is 8803360147.

It is an interprime number because it is at equal distance from previous prime (74106330871) and next prime (74106330889).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74106330889) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 206424141 + ... + 206424499.

It is an arithmetic number, because the mean of its divisors is an integer number (656737200).

Almost surely, 2^74106330880 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 74106330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94570156800).

74106330880 is an abundant number, since it is smaller than the sum of its proper divisors (115033982720).

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

74106330880 is a wasteful number, since it uses less digits than its factorization.

74106330880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 74106330880 in words is "seventy-four billion, one hundred six million, three hundred thirty thousand, eight hundred eighty".