74638368 has 288 divisors, whose sum is σ = 265446720. Its totient is φ = 20321280.

The previous prime is 74638357. The next prime is 74638379. The reversal of 74638368 is 86383647.

74638368 is a `hidden beast` number, since 7 + 4 + 638 + 3 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (74638357) and next prime (74638379).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

Its product of digits (580608) is a multiple of the sum of its prime divisors (96).

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, 1735755 + ... + 1735797.

It is an arithmetic number, because the mean of its divisors is an integer number (921690).

Almost surely, 2^74638368 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 74638368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132723360).

74638368 is an abundant number, since it is smaller than the sum of its proper divisors (190808352).

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

74638368 is a wasteful number, since it uses less digits than its factorization.

74638368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 96 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 74638368 is about 8639.3499755479. The cubic root of 74638368 is about 421.0374353375.

The spelling of 74638368 in words is "seventy-four million, six hundred thirty-eight thousand, three hundred sixty-eight".