74744640 has 224 divisors, whose sum is σ = 271393920. Its totient is φ = 19353600.

The previous prime is 74744633. The next prime is 74744647. The reversal of 74744640 is 4644747.

74744640 is a `hidden beast` number, since 7 + 4 + 7 + 4 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (74744633) and next prime (74744647).

It is a super-2 number, since 2×74744640² = 11173522417459200, which contains 22 as substring.

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 = 74744595 and 74744604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74744647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354135 + ... + 354345.

It is an arithmetic number, because the mean of its divisors is an integer number (1211580).

Almost surely, 2^74744640 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 74744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135696960).

74744640 is an abundant number, since it is smaller than the sum of its proper divisors (196649280).

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

74744640 is a wasteful number, since it uses less digits than its factorization.

74744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 74744640 is about 8645.4982505348. The cubic root of 74744640 is about 421.2371684962.

The spelling of 74744640 in words is "seventy-four million, seven hundred forty-four thousand, six hundred forty".