8681627970 has 96 divisors (see below), whose sum is σ = 23158249920. Its totient is φ = 2255713920.

The previous prime is 8681627959. The next prime is 8681627971. The reversal of 8681627970 is 797261868.

8681627970 is a `hidden beast` number, since 8 + 6 + 8 + 1 + 627 + 9 + 7 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (8681627971) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 580041 + ... + 594819.

It is an arithmetic number, because the mean of its divisors is an integer number (241231770).

Almost surely, 2^8681627970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8681627970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11579124960).

8681627970 is an abundant number, since it is smaller than the sum of its proper divisors (14476621950).

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

8681627970 is a wasteful number, since it uses less digits than its factorization.

8681627970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14960 (or 14957 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 8681627970 is about 93175.2540645852. The cubic root of 8681627970 is about 2055.2613587701.

The spelling of 8681627970 in words is "eight billion, six hundred eighty-one million, six hundred twenty-seven thousand, nine hundred seventy".