8007151479808 has 176 divisors, whose sum is σ = 17475639229440. Its totient is φ = 3644762701824.

The previous prime is 8007151479797. The next prime is 8007151479853. The reversal of 8007151479808 is 8089741517008.

It is a super-2 number, since 2×8007151479808² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670665903 + ... + 670677841.

Almost surely, 2^{8007151479808} 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 8007151479808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8737819614720).

8007151479808 is an abundant number, since it is smaller than the sum of its proper divisors (9468487749632).

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

8007151479808 is a wasteful number, since it uses less digits than its factorization.

8007151479808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12662 (or 12644 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 58.

The spelling of 8007151479808 in words is "eight trillion, seven billion, one hundred fifty-one million, four hundred seventy-nine thousand, eight hundred eight".