8133632640 has 384 divisors, whose sum is σ = 32634875520. Its totient is φ = 1828085760.

The previous prime is 8133632627. The next prime is 8133632641. The reversal of 8133632640 is 462363318.

8133632640 is a `hidden beast` number, since 8 + 1 + 3 + 3 + 6 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8133632595 and 8133632604.

It is not an unprimeable number, because it can be changed into a prime (8133632641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2457867 + ... + 2461173.

It is an arithmetic number, because the mean of its divisors is an integer number (84986655).

Almost surely, 2^8133632640 is an apocalyptic number.

8133632640 is a gapful number since it is divisible by the number (80) 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 8133632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16317437760).

8133632640 is an abundant number, since it is smaller than the sum of its proper divisors (24501242880).

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

8133632640 is a wasteful number, since it uses less digits than its factorization.

8133632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 8133632640 is about 90186.6544451007. The cubic root of 8133632640 is about 2011.0746165780.

Adding to 8133632640 its reverse (462363318), we get a palindrome (8595995958).

It can be divided in two parts, 813363 and 2640, that added together give a triangular number (816003 = T₁₂₇₇).

The spelling of 8133632640 in words is "eight billion, one hundred thirty-three million, six hundred thirty-two thousand, six hundred forty".