74749680 has 240 divisors, whose sum is σ = 275768064. Its totient is φ = 18063360.

The previous prime is 74749669. The next prime is 74749691. The reversal of 74749680 is 8694747.

It is an interprime number because it is at equal distance from previous prime (74749669) and next prime (74749691).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379342 + ... + 379538.

Almost surely, 2^74749680 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 74749680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137884032).

74749680 is an abundant number, since it is smaller than the sum of its proper divisors (201018384).

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

74749680 is a wasteful number, since it uses less digits than its factorization.

74749680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 74749680 is about 8645.7897267977. The cubic root of 74749680 is about 421.2466362324.

The spelling of 74749680 in words is "seventy-four million, seven hundred forty-nine thousand, six hundred eighty".