74384640 has 216 divisors, whose sum is σ = 281238048. Its totient is φ = 18001920.

The previous prime is 74384633. The next prime is 74384647. The reversal of 74384640 is 4648347.

74384640 is a `hidden beast` number, since 7 + 4 + 3 + 8 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (74384633) and next prime (74384647).

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

It is a junction number, because it is equal to n+sod(n) for n = 74384595 and 74384604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74384647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126427 + ... + 127013.

It is an arithmetic number, because the mean of its divisors is an integer number (1302028).

Almost surely, 2^74384640 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 74384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140619024).

74384640 is an abundant number, since it is smaller than the sum of its proper divisors (206853408).

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

74384640 is a wasteful number, since it uses less digits than its factorization.

74384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 74384640 is about 8624.6530364995. The cubic root of 74384640 is about 420.5597977587.

The spelling of 74384640 in words is "seventy-four million, three hundred eighty-four thousand, six hundred forty".