47064737664 has 768 divisors, whose sum is σ = 174887731200. Its totient is φ = 12294789120.

The previous prime is 47064737663. The next prime is 47064737723. The reversal of 47064737664 is 46673746074.

47064737664 is a `hidden beast` number, since 47 + 0 + 6 + 473 + 76 + 64 = 666.

47064737664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×47064737664² (a number of 22 digits) contains 22 as substring.

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 47064737664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47064737663) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128241609 + ... + 128241975.

It is an arithmetic number, because the mean of its divisors is an integer number (227718400).

Almost surely, 2^47064737664 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 47064737664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87443865600).

47064737664 is an abundant number, since it is smaller than the sum of its proper divisors (127822993536).

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

47064737664 is a wasteful number, since it uses less digits than its factorization.

47064737664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 54.

The spelling of 47064737664 in words is "forty-seven billion, sixty-four million, seven hundred thirty-seven thousand, six hundred sixty-four".