8676605952 has 320 divisors, whose sum is σ = 29688927840. Its totient is φ = 2473721856.

The previous prime is 8676605921. The next prime is 8676605957. The reversal of 8676605952 is 2595066768.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (8676605957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18579223 + ... + 18579689.

Almost surely, 2^8676605952 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 8676605952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14844463920).

8676605952 is an abundant number, since it is smaller than the sum of its proper divisors (21012321888).

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

8676605952 is an frugal number, since it uses more digits than its factorization.

8676605952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The square root of 8676605952 is about 93148.3008540682. The cubic root of 8676605952 is about 2054.8649834039.

The spelling of 8676605952 in words is "eight billion, six hundred seventy-six million, six hundred five thousand, nine hundred fifty-two".