74664000 has 336 divisors, whose sum is σ = 287432496. Its totient is φ = 18432000.

The previous prime is 74663999. The next prime is 74664011. The reversal of 74664000 is 46647.

It can be written as a sum of positive squares in 8 ways, for example, as 35426304 + 39237696 = 5952^2 + 6264^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1223970 + ... + 1224030.

Almost surely, 2^74664000 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 74664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143716248).

74664000 is an abundant number, since it is smaller than the sum of its proper divisors (212768496).

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

74664000 is a wasteful number, since it uses less digits than its factorization.

74664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 74664000 is about 8640.8332931495. The cubic root of 74664000 is about 421.0856268003.

It can be divided in two parts, 746 and 64000, that added together give a palindrome (64746).

The spelling of 74664000 in words is "seventy-four million, six hundred sixty-four thousand".