8664400710 has 576 divisors, whose sum is σ = 30195389952. Its totient is φ = 1744561152.

The previous prime is 8664400709. The next prime is 8664400711. The reversal of 8664400710 is 170044668.

8664400710 is a `hidden beast` number, since 8 + 6 + 644 + 0 + 0 + 7 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8664400709) and next prime (8664400711).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8664400711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 104390329 + ... + 104390411.

It is an arithmetic number, because the mean of its divisors is an integer number (52422552).

Almost surely, 2^8664400710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8664400710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15097694976).

8664400710 is an abundant number, since it is smaller than the sum of its proper divisors (21530989242).

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

8664400710 is a wasteful number, since it uses less digits than its factorization.

8664400710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8664400710 is about 93082.7626899847. The cubic root of 8664400710 is about 2053.9010160925.

The spelling of 8664400710 in words is "eight billion, six hundred sixty-four million, four hundred thousand, seven hundred ten".