47267916864 has 224 divisors, whose sum is σ = 147148759296. Its totient is φ = 13111787520.

The previous prime is 47267916859. The next prime is 47267916907. The reversal of 47267916864 is 46861976274.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 47267916798 and 47267916807.

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, 6906084 + ... + 6912924.

It is an arithmetic number, because the mean of its divisors is an integer number (656914104).

Almost surely, 2^47267916864 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 47267916864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73574379648).

47267916864 is an abundant number, since it is smaller than the sum of its proper divisors (99880842432).

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

47267916864 is a wasteful number, since it uses less digits than its factorization.

47267916864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7013 (or 7003 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 60.

The spelling of 47267916864 in words is "forty-seven billion, two hundred sixty-seven million, nine hundred sixteen thousand, eight hundred sixty-four".