47709680 has 40 divisors (see below), whose sum is σ = 112344000. Its totient is φ = 18839808.

The previous prime is 47709679. The next prime is 47709707. The reversal of 47709680 is 8690774.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2546 + ... + 10094.

It is an arithmetic number, because the mean of its divisors is an integer number (2808600).

Almost surely, 2^47709680 is an apocalyptic number.

47709680 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 47709680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56172000).

47709680 is an abundant number, since it is smaller than the sum of its proper divisors (64634320).

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

47709680 is a wasteful number, since it uses less digits than its factorization.

47709680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7641 (or 7635 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 47709680 is about 6907.2194116012. The cubic root of 47709680 is about 362.6899329677.

The spelling of 47709680 in words is "forty-seven million, seven hundred nine thousand, six hundred eighty".