8364649860 has 216 divisors, whose sum is σ = 29586689496. Its totient is φ = 1907297280.

The previous prime is 8364649817. The next prime is 8364649861. The reversal of 8364649860 is 689464638.

8364649860 is a `hidden beast` number, since 8 + 36 + 464 + 98 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12152196 + 8352497664 = 3486^2 + 91392^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8364649797 and 8364649806.

It is not an unprimeable number, because it can be changed into a prime (8364649861) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4770744 + ... + 4772496.

Almost surely, 2^8364649860 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 8364649860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14793344748).

8364649860 is an abundant number, since it is smaller than the sum of its proper divisors (21222039636).

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

8364649860 is a wasteful number, since it uses less digits than its factorization.

8364649860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The square root of 8364649860 is about 91458.4597508618. The cubic root of 8364649860 is about 2029.9371363807.

The spelling of 8364649860 in words is "eight billion, three hundred sixty-four million, six hundred forty-nine thousand, eight hundred sixty".