74668814220 has 384 divisors, whose sum is σ = 288308385792. Its totient is φ = 13934592000.

The previous prime is 74668814219. The next prime is 74668814261. The reversal of 74668814220 is 2241886647.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 74668814220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2205420 + ... + 2239020.

It is an arithmetic number, because the mean of its divisors is an integer number (750803088).

Almost surely, 2^74668814220 is an apocalyptic number.

74668814220 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74668814220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144154192896).

74668814220 is an abundant number, since it is smaller than the sum of its proper divisors (213639571572).

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

74668814220 is a wasteful number, since it uses less digits than its factorization.

74668814220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33681 (or 33679 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

It can be divided in two parts, 74668 and 814220, that added together give a palindrome (888888).

The spelling of 74668814220 in words is "seventy-four billion, six hundred sixty-eight million, eight hundred fourteen thousand, two hundred twenty".