74648640 has 112 divisors (see below), whose sum is σ = 258592320. Its totient is φ = 18094080.

The previous prime is 74648627. The next prime is 74648641. The reversal of 74648640 is 4684647.

It is not an unprimeable number, because it can be changed into a prime (74648641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7026 + ... + 14094.

It is an arithmetic number, because the mean of its divisors is an integer number (2308860).

Almost surely, 2^74648640 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 74648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129296160).

74648640 is an abundant number, since it is smaller than the sum of its proper divisors (183943680).

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

74648640 is a wasteful number, since it uses less digits than its factorization.

74648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7100 (or 7090 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 74648640 is about 8639.9444442658. The cubic root of 74648640 is about 421.0567493457.

The spelling of 74648640 in words is "seventy-four million, six hundred forty-eight thousand, six hundred forty".