8634843248640 has 384 divisors, whose sum is σ = 32242909870080. Its totient is φ = 1931683037184.

The previous prime is 8634843248621. The next prime is 8634843248657. The reversal of 8634843248640 is 468423484368.

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 (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9679704 + ... + 10534056.

It is an arithmetic number, because the mean of its divisors is an integer number (83965911120).

Almost surely, 2^{8634843248640} is an apocalyptic number.

8634843248640 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 8634843248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16121454935040).

8634843248640 is an abundant number, since it is smaller than the sum of its proper divisors (23608066621440).

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

8634843248640 is a wasteful number, since it uses less digits than its factorization.

8634843248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854437 (or 854417 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 60.

The spelling of 8634843248640 in words is "eight trillion, six hundred thirty-four billion, eight hundred forty-three million, two hundred forty-eight thousand, six hundred forty".