8006675040 has 1152 divisors, whose sum is σ = 36491599872. Its totient is φ = 1612431360.

The previous prime is 8006674999. The next prime is 8006675057. The reversal of 8006675040 is 405766008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8006674986 and 8006675004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109680444 + ... + 109680516.

It is an arithmetic number, because the mean of its divisors is an integer number (31676736).

Almost surely, 2^8006675040 is an apocalyptic number.

8006675040 is a gapful number since it is divisible by the number (80) 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 8006675040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18245799936).

8006675040 is an abundant number, since it is smaller than the sum of its proper divisors (28484924832).

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

8006675040 is a wasteful number, since it uses less digits than its factorization.

8006675040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 8006675040 is about 89480.0259275778. The cubic root of 8006675040 is about 2000.5560986961.

The spelling of 8006675040 in words is "eight billion, six million, six hundred seventy-five thousand, forty".