8664800852736 has 1296 divisors, whose sum is σ = 32663101685760. Its totient is φ = 2188845711360.

The previous prime is 8664800852707. The next prime is 8664800852797. The reversal of 8664800852736 is 6372580084668.

8664800852736 is a `hidden beast` number, since 8 + 6 + 6 + 480 + 0 + 85 + 2 + 73 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4631105881 + ... + 4631107751.

It is an arithmetic number, because the mean of its divisors is an integer number (25203010560).

Almost surely, 2^{8664800852736} 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 8664800852736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16331550842880).

8664800852736 is an abundant number, since it is smaller than the sum of its proper divisors (23998300833024).

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

8664800852736 is a wasteful number, since it uses less digits than its factorization.

8664800852736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 8664800852736 in words is "eight trillion, six hundred sixty-four billion, eight hundred million, eight hundred fifty-two thousand, seven hundred thirty-six".