47569680 has 120 divisors (see below), whose sum is σ = 165739392. Its totient is φ = 12680064.

The previous prime is 47569667. The next prime is 47569693. The reversal of 47569680 is 8696574.

47569680 is a `hidden beast` number, since 4 + 7 + 569 + 6 + 80 = 666.

47569680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47569667) and next prime (47569693).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

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 23 ways as a sum of consecutive naturals, for example, 18217 + ... + 20663.

Almost surely, 2^47569680 is an apocalyptic number.

47569680 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 47569680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82869696).

47569680 is an abundant number, since it is smaller than the sum of its proper divisors (118169712).

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

47569680 is a wasteful number, since it uses less digits than its factorization.

47569680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 47569680 is about 6897.0776420162. The cubic root of 47569680 is about 362.3348244707.

The spelling of 47569680 in words is "forty-seven million, five hundred sixty-nine thousand, six hundred eighty".