74014668 has 192 divisors, whose sum is σ = 250629120. Its totient is φ = 18330624.

The previous prime is 74014663. The next prime is 74014687. The reversal of 74014668 is 86641047.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (74014663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166855 + ... + 167297.

It is an arithmetic number, because the mean of its divisors is an integer number (1305360).

Almost surely, 2^74014668 is an apocalyptic number.

74014668 is a gapful number since it is divisible by the number (78) 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 74014668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125314560).

74014668 is an abundant number, since it is smaller than the sum of its proper divisors (176614452).

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

74014668 is a wasteful number, since it uses less digits than its factorization.

74014668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 74014668 is about 8603.1777849815. The cubic root of 74014668 is about 419.8613828271.

The spelling of 74014668 in words is "seventy-four million, fourteen thousand, six hundred sixty-eight".