47668649472 has 320 divisors, whose sum is σ = 150140390400. Its totient is φ = 14890106880.

The previous prime is 47668649411. The next prime is 47668649489. The reversal of 47668649472 is 27494686674.

47668649472 is a `hidden beast` number, since 4 + 7 + 66 + 86 + 494 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25476697 + ... + 25478567.

It is an arithmetic number, because the mean of its divisors is an integer number (469188720).

Almost surely, 2^47668649472 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 47668649472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75070195200).

47668649472 is an abundant number, since it is smaller than the sum of its proper divisors (102471740928).

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

47668649472 is a wasteful number, since it uses less digits than its factorization.

47668649472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 1992 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 47668649472 in words is "forty-seven billion, six hundred sixty-eight million, six hundred forty-nine thousand, four hundred seventy-two".