8540633984 has 64 divisors (see below), whose sum is σ = 17159733360. Its totient is φ = 4234051584.

The previous prime is 8540633957. The next prime is 8540633987. The reversal of 8540633984 is 4893360458.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8540633987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14549339 + ... + 14549925.

Almost surely, 2^8540633984 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 8540633984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8579866680).

8540633984 is an abundant number, since it is smaller than the sum of its proper divisors (8619099376).

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

8540633984 is a wasteful number, since it uses less digits than its factorization.

8540633984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 50.

The square root of 8540633984 is about 92415.5505529237. The cubic root of 8540633984 is about 2044.0744200038.

The spelling of 8540633984 in words is "eight billion, five hundred forty million, six hundred thirty-three thousand, nine hundred eighty-four".