8674664544 has 864 divisors, whose sum is σ = 33841027584. Its totient is φ = 2134978560.

The previous prime is 8674664519. The next prime is 8674664569. The reversal of 8674664544 is 4454664768.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8674664519) and next prime (8674664569).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×8674664544³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 211577164 + ... + 211577204.

It is an arithmetic number, because the mean of its divisors is an integer number (39167856).

Almost surely, 2^8674664544 is an apocalyptic number.

8674664544 is a gapful number since it is divisible by the number (84) 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 8674664544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16920513792).

8674664544 is an abundant number, since it is smaller than the sum of its proper divisors (25166363040).

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

8674664544 is a wasteful number, since it uses less digits than its factorization.

8674664544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 89 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The square root of 8674664544 is about 93137.8792114143. The cubic root of 8674664544 is about 2054.7117119167.

The spelling of 8674664544 in words is "eight billion, six hundred seventy-four million, six hundred sixty-four thousand, five hundred forty-four".