8043667632 has 960 divisors, whose sum is σ = 33247872000. Its totient is φ = 1806520320.

The previous prime is 8043667559. The next prime is 8043667637. The reversal of 8043667632 is 2367663408.

8043667632 is a `hidden beast` number, since 8 + 0 + 4 + 3 + 6 + 6 + 7 + 632 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8043667637) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 90378244 + ... + 90378332.

It is an arithmetic number, because the mean of its divisors is an integer number (34633200).

Almost surely, 2^8043667632 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 8043667632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16623936000).

8043667632 is an abundant number, since it is smaller than the sum of its proper divisors (25204204368).

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

8043667632 is a wasteful number, since it uses less digits than its factorization.

8043667632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 8043667632 is about 89686.4963748724. The cubic root of 8043667632 is about 2003.6323682898.

The spelling of 8043667632 in words is "eight billion, forty-three million, six hundred sixty-seven thousand, six hundred thirty-two".