8000006062080 has 544 divisors, whose sum is σ = 26768179445760. Its totient is φ = 2037771141120.

The previous prime is 8000006062043. The next prime is 8000006062117. The reversal of 8000006062080 is 802606000008.

It is an interprime number because it is at equal distance from previous prime (8000006062043) and next prime (8000006062117).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2407463299 + ... + 2407466621.

Almost surely, 2^{8000006062080} is an apocalyptic number.

8000006062080 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 8000006062080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13384089722880).

8000006062080 is an abundant number, since it is smaller than the sum of its proper divisors (18768173383680).

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

8000006062080 is an equidigital number, since it uses as much as digits as its factorization.

8000006062080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3473 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 8000006062080 in words is "eight trillion, six million, sixty-two thousand, eighty".