8626493491200 has 3456 divisors, whose sum is σ = 38326746931200. Its totient is φ = 1831191183360.

The previous prime is 8626493491181. The next prime is 8626493491207. The reversal of 8626493491200 is 21943946268.

8626493491200 is a `hidden beast` number, since 8 + 6 + 2 + 64 + 93 + 491 + 2 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (8626493491207) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 67925145537 + ... + 67925145663.

It is an arithmetic number, because the mean of its divisors is an integer number (11089915200).

Almost surely, 2^{8626493491200} is an apocalyptic number.

8626493491200 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 8626493491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19163373465600).

8626493491200 is an abundant number, since it is smaller than the sum of its proper divisors (29700253440000).

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

8626493491200 is a wasteful number, since it uses less digits than its factorization.

8626493491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 8626493491200 in words is "eight trillion, six hundred twenty-six billion, four hundred ninety-three million, four hundred ninety-one thousand, two hundred".