47664640 has 80 divisors (see below), whose sum is σ = 117211248. Its totient is φ = 18579456.

The previous prime is 47664619. The next prime is 47664641. The reversal of 47664640 is 4646674.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 47664640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47664641) 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 7 ways as a sum of consecutive naturals, for example, 109864 + ... + 110296.

Almost surely, 2^47664640 is an apocalyptic number.

47664640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58605624).

47664640 is an abundant number, since it is smaller than the sum of its proper divisors (69546608).

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

47664640 is an equidigital number, since it uses as much as digits as its factorization.

47664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The square root of 47664640 is about 6903.9582849261. The cubic root of 47664640 is about 362.5757653762.

The spelling of 47664640 in words is "forty-seven million, six hundred sixty-four thousand, six hundred forty".