74816640 has 192 divisors, whose sum is σ = 267321600. Its totient is φ = 19261440.

The previous prime is 74816629. The next prime is 74816641. The reversal of 74816640 is 4661847.

74816640 is a `hidden beast` number, since 7 + 4 + 8 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 74816595 and 74816604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74816641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178351 + ... + 178769.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 2^74816640 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 74816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

74816640 is an abundant number, since it is smaller than the sum of its proper divisors (192504960).

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

74816640 is a wasteful number, since it uses less digits than its factorization.

74816640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 74816640 is about 8649.6612650439. The cubic root of 74816640 is about 421.3723815045.

The spelling of 74816640 in words is "seventy-four million, eight hundred sixteen thousand, six hundred forty".