47633564160 has 640 divisors, whose sum is σ = 208271669760. Its totient is φ = 10048831488.

The previous prime is 47633564159. The next prime is 47633564189. The reversal of 47633564160 is 6146533674.

47633564160 is a `hidden beast` number, since 4 + 7 + 633 + 5 + 6 + 4 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6286134 + ... + 6293706.

It is an arithmetic number, because the mean of its divisors is an integer number (325424484).

Almost surely, 2^47633564160 is an apocalyptic number.

47633564160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47633564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104135834880).

47633564160 is an abundant number, since it is smaller than the sum of its proper divisors (160638105600).

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

47633564160 is a wasteful number, since it uses less digits than its factorization.

47633564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7625 (or 7603 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 47633564160 in words is "forty-seven billion, six hundred thirty-three million, five hundred sixty-four thousand, one hundred sixty".