8406102666 has 64 divisors (see below), whose sum is σ = 18277886592. Its totient is φ = 2561974272.

The previous prime is 8406102623. The next prime is 8406102667. The reversal of 8406102666 is 6662016048.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (8406102667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4487106 + ... + 4488978.

It is an arithmetic number, because the mean of its divisors is an integer number (285591978).

Almost surely, 2^8406102666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8406102666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9138943296).

8406102666 is an abundant number, since it is smaller than the sum of its proper divisors (9871783926).

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

8406102666 is a wasteful number, since it uses less digits than its factorization.

8406102666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407.

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 8406102666 is about 91684.8006269305. The cubic root of 8406102666 is about 2033.2848744222.

The spelling of 8406102666 in words is "eight billion, four hundred six million, one hundred two thousand, six hundred sixty-six".