8008449696 has 192 divisors, whose sum is σ = 25293219840. Its totient is φ = 2450580480.

The previous prime is 8008449667. The next prime is 8008449727. The reversal of 8008449696 is 6969448008.

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

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 31 ways as a sum of consecutive naturals, for example, 2143446 + ... + 2147178.

It is an arithmetic number, because the mean of its divisors is an integer number (131735520).

Almost surely, 2^8008449696 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 8008449696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12646609920).

8008449696 is an abundant number, since it is smaller than the sum of its proper divisors (17284770144).

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

8008449696 is a wasteful number, since it uses less digits than its factorization.

8008449696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956 (or 3942 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 8008449696 is about 89489.9418705812. The cubic root of 8008449696 is about 2000.7038935712.

The spelling of 8008449696 in words is "eight billion, eight million, four hundred forty-nine thousand, six hundred ninety-six".