8639648640 has 384 divisors, whose sum is σ = 34799544000. Its totient is φ = 1974325248.

The previous prime is 8639648599. The next prime is 8639648663. The reversal of 8639648640 is 468469368.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1973494 + ... + 1977866.

Almost surely, 2^8639648640 is an apocalyptic number.

8639648640 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 8639648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17399772000).

8639648640 is an abundant number, since it is smaller than the sum of its proper divisors (26159895360).

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

8639648640 is a wasteful number, since it uses less digits than its factorization.

8639648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419 (or 4390 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The square root of 8639648640 is about 92949.7102738895. The cubic root of 8639648640 is about 2051.9433200262.

The spelling of 8639648640 in words is "eight billion, six hundred thirty-nine million, six hundred forty-eight thousand, six hundred forty".