8510640840 has 640 divisors, whose sum is σ = 32628879360. Its totient is φ = 1975228416.

The previous prime is 8510640829. The next prime is 8510640847. The reversal of 8510640840 is 480460158.

8510640840 is a `hidden beast` number, since 8 + 5 + 1 + 0 + 640 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8510640795 and 8510640804.

It is not an unprimeable number, because it can be changed into a prime (8510640847) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 67012857 + ... + 67012983.

It is an arithmetic number, because the mean of its divisors is an integer number (50982624).

Almost surely, 2^8510640840 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 8510640840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16314439680).

8510640840 is an abundant number, since it is smaller than the sum of its proper divisors (24118238520).

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

8510640840 is a wasteful number, since it uses less digits than its factorization.

8510640840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 8510640840 is about 92253.1345808911. The cubic root of 8510640840 is about 2041.6788083650.

The spelling of 8510640840 in words is "eight billion, five hundred ten million, six hundred forty thousand, eight hundred forty".