8001746676 has 240 divisors, whose sum is σ = 26689850880. Its totient is φ = 2029769280.

The previous prime is 8001746573. The next prime is 8001746689. The reversal of 8001746676 is 6766471008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1069035 + ... + 1076493.

It is an arithmetic number, because the mean of its divisors is an integer number (111207712).

Almost surely, 2^8001746676 is an apocalyptic number.

8001746676 is a gapful number since it is divisible by the number (86) 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 8001746676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13344925440).

8001746676 is an abundant number, since it is smaller than the sum of its proper divisors (18688104204).

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

8001746676 is a wasteful number, since it uses less digits than its factorization.

8001746676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7536 (or 7525 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 8001746676 is about 89452.4827827601. The cubic root of 8001746676 is about 2000.1455457413.

The spelling of 8001746676 in words is "eight billion, one million, seven hundred forty-six thousand, six hundred seventy-six".