8001677664 has 120 divisors (see below), whose sum is σ = 23565132360. Its totient is φ = 2663553024.

The previous prime is 8001677659. The next prime is 8001677669. The reversal of 8001677664 is 4667761008.

It is an interprime number because it is at equal distance from previous prime (8001677659) and next prime (8001677669).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8001677669) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2406307 + ... + 2409629.

It is an arithmetic number, because the mean of its divisors is an integer number (196376103).

Almost surely, 2^8001677664 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 8001677664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11782566180).

8001677664 is an abundant number, since it is smaller than the sum of its proper divisors (15563454696).

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

8001677664 is a wasteful number, since it uses less digits than its factorization.

8001677664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4274 (or 4257 counting only the distinct ones).

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

The square root of 8001677664 is about 89452.0970352289. The cubic root of 8001677664 is about 2000.1397955617.

The spelling of 8001677664 in words is "eight billion, one million, six hundred seventy-seven thousand, six hundred sixty-four".