47645237664 has 192 divisors, whose sum is σ = 141253217280. Its totient is φ = 15621984000.

The previous prime is 47645237657. The next prime is 47645237687. The reversal of 47645237664 is 46673254674.

47645237664 is a `hidden beast` number, since 47 + 6 + 4 + 523 + 76 + 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 47645237664.

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, 17998389 + ... + 18001035.

It is an arithmetic number, because the mean of its divisors is an integer number (735693840).

Almost surely, 2^47645237664 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 47645237664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70626608640).

47645237664 is an abundant number, since it is smaller than the sum of its proper divisors (93607979616).

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

47645237664 is a wasteful number, since it uses less digits than its factorization.

47645237664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2986 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 54.

The spelling of 47645237664 in words is "forty-seven billion, six hundred forty-five million, two hundred thirty-seven thousand, six hundred sixty-four".