47606667264 has 864 divisors, whose sum is σ = 168341846400. Its totient is φ = 12881756160.

The previous prime is 47606667221. The next prime is 47606667301. The reversal of 47606667264 is 46276660674.

It is a self number, because there is not a number n which added to its sum of digits gives 47606667264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1535698929 + ... + 1535698959.

It is an arithmetic number, because the mean of its divisors is an integer number (194840100).

Almost surely, 2^47606667264 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 47606667264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84170923200).

47606667264 is an abundant number, since it is smaller than the sum of its proper divisors (120735179136).

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

47606667264 is a wasteful number, since it uses less digits than its factorization.

47606667264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 47606667264 in words is "forty-seven billion, six hundred six million, six hundred sixty-seven thousand, two hundred sixty-four".