47329664 has 32 divisors (see below), whose sum is σ = 95013000. Its totient is φ = 23483392.

The previous prime is 47329663. The next prime is 47329679. The reversal of 47329664 is 46692374.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47329661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16187 + ... + 18885.

Almost surely, 2^47329664 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 47329664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47506500).

47329664 is an abundant number, since it is smaller than the sum of its proper divisors (47683336).

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

47329664 is a wasteful number, since it uses less digits than its factorization.

47329664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2838 counting only the distinct ones).

The product of its digits is 217728, while the sum is 41.

The square root of 47329664 is about 6879.6558053438. The cubic root of 47329664 is about 361.7244018154.

The spelling of 47329664 in words is "forty-seven million, three hundred twenty-nine thousand, six hundred sixty-four".