8667242496000 has 816 divisors, whose sum is σ = 34091982332928. Its totient is φ = 2100953088000.

The previous prime is 8667242495987. The next prime is 8667242496043. The reversal of 8667242496000 is 6942427668.

8667242496000 is a `hidden beast` number, since 8 + 6 + 6 + 7 + 2 + 4 + 24 + 9 + 600 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 811002657 + ... + 811013343.

Almost surely, 2^{8667242496000} is an apocalyptic number.

8667242496000 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 8667242496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17045991166464).

8667242496000 is an abundant number, since it is smaller than the sum of its proper divisors (25424739836928).

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

8667242496000 is a wasteful number, since it uses less digits than its factorization.

8667242496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10751 (or 10708 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 8667242496000 in words is "eight trillion, six hundred sixty-seven billion, two hundred forty-two million, four hundred ninety-six thousand".