74738664 has 384 divisors, whose sum is σ = 292481280. Its totient is φ = 16588800.

The previous prime is 74738659. The next prime is 74738683. The reversal of 74738664 is 46683747.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1225194 + ... + 1225254.

It is an arithmetic number, because the mean of its divisors is an integer number (761670).

Almost surely, 2^74738664 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 74738664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

74738664 is an abundant number, since it is smaller than the sum of its proper divisors (217742616).

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

74738664 is a wasteful number, since it uses less digits than its factorization.

74738664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 114 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 74738664 is about 8645.1526302316. The cubic root of 74738664 is about 421.2259419146.

The spelling of 74738664 in words is "seventy-four million, seven hundred thirty-eight thousand, six hundred sixty-four".