47073809664 has 720 divisors, whose sum is σ = 169881909120. Its totient is φ = 12680478720.

The previous prime is 47073809641. The next prime is 47073809669. The reversal of 47073809664 is 46690837074.

It is a happy number.

47073809664 is a `hidden beast` number, since 470 + 7 + 3 + 80 + 96 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 47073809664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47073809669) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 223098519 + ... + 223098729.

It is an arithmetic number, because the mean of its divisors is an integer number (235947096).

Almost surely, 2^47073809664 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 47073809664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84940954560).

47073809664 is an abundant number, since it is smaller than the sum of its proper divisors (122808099456).

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

47073809664 is a wasteful number, since it uses less digits than its factorization.

47073809664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 47073809664 in words is "forty-seven billion, seventy-three million, eight hundred nine thousand, six hundred sixty-four".