8667004139640 has 2048 divisors, whose sum is σ = 39199997952000. Its totient is φ = 1648462233600.

The previous prime is 8667004139639. The next prime is 8667004139641. The reversal of 8667004139640 is 469314007668.

8667004139640 is a `hidden beast` number, since 86 + 67 + 0 + 0 + 413 + 96 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8667004139639) and next prime (8667004139641).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8667004139641) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 7929554934 + ... + 7929556026.

It is an arithmetic number, because the mean of its divisors is an integer number (19140624000).

Almost surely, 2^{8667004139640} 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 8667004139640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19599998976000).

8667004139640 is an abundant number, since it is smaller than the sum of its proper divisors (30532993812360).

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

8667004139640 is a wasteful number, since it uses less digits than its factorization.

8667004139640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 8667004139640 in words is "eight trillion, six hundred sixty-seven billion, four million, one hundred thirty-nine thousand, six hundred forty".