8660636667648 has 1152 divisors, whose sum is σ = 32364009216000. Its totient is φ = 2227305185280.

The previous prime is 8660636667607. The next prime is 8660636667649. The reversal of 8660636667648 is 8467666360668.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8660636667649) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2600009343 + ... + 2600012673.

It is an arithmetic number, because the mean of its divisors is an integer number (28093758000).

Almost surely, 2^{8660636667648} 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 8660636667648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16182004608000).

8660636667648 is an abundant number, since it is smaller than the sum of its proper divisors (23703372548352).

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

8660636667648 is a wasteful number, since it uses less digits than its factorization.

8660636667648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3518 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 1504935936, while the sum is 72.

The spelling of 8660636667648 in words is "eight trillion, six hundred sixty billion, six hundred thirty-six million, six hundred sixty-seven thousand, six hundred forty-eight".