8007187668 has 24 divisors (see below), whose sum is σ = 18787819680. Its totient is φ = 2654150880.

The previous prime is 8007187637. The next prime is 8007187673. The reversal of 8007187668 is 8667817008.

It is a self number, because there is not a number n which added to its sum of digits gives 8007187668.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1861723 + ... + 1866018.

It is an arithmetic number, because the mean of its divisors is an integer number (782825820).

Almost surely, 2^8007187668 is an apocalyptic number.

It is an amenable number.

8007187668 is an abundant number, since it is smaller than the sum of its proper divisors (10780632012).

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

8007187668 is a wasteful number, since it uses less digits than its factorization.

8007187668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3727927 (or 3727925 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The square root of 8007187668 is about 89482.8903645831. The cubic root of 8007187668 is about 2000.5987930389.

The spelling of 8007187668 in words is "eight billion, seven million, one hundred eighty-seven thousand, six hundred sixty-eight".