8142967008 has 216 divisors, whose sum is σ = 25613530488. Its totient is φ = 2452032000.

The previous prime is 8142966977. The next prime is 8142967031. The reversal of 8142967008 is 8007692418.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6306843 + ... + 6308133.

Almost surely, 2^8142967008 is an apocalyptic number.

8142967008 is a gapful number since it is divisible by the number (88) 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 8142967008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12806765244).

8142967008 is an abundant number, since it is smaller than the sum of its proper divisors (17470563480).

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

8142967008 is a wasteful number, since it uses less digits than its factorization.

8142967008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 8142967008 is about 90238.3898792526. The cubic root of 8142967008 is about 2011.8436429500.

The spelling of 8142967008 in words is "eight billion, one hundred forty-two million, nine hundred sixty-seven thousand, eight".