8008432862976 has 1296 divisors, whose sum is σ = 29997653736960. Its totient is φ = 2009151406080.

The previous prime is 8008432862957. The next prime is 8008432862981. The reversal of 8008432862976 is 6792682348008.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5612075575 + ... + 5612077001.

It is an arithmetic number, because the mean of its divisors is an integer number (23146337760).

Almost surely, 2^{8008432862976} 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 8008432862976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14998826868480).

8008432862976 is an abundant number, since it is smaller than the sum of its proper divisors (21989220873984).

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

8008432862976 is a wasteful number, since it uses less digits than its factorization.

8008432862976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 8008432862976 in words is "eight trillion, eight billion, four hundred thirty-two million, eight hundred sixty-two thousand, nine hundred seventy-six".