8649810000 has 300 divisors, whose sum is σ = 32580936388. Its totient is φ = 2128896000.

The previous prime is 8649809989. The next prime is 8649810083. The reversal of 8649810000 is 189468.

It is a happy number.

8649810000 is a `hidden beast` number, since 8 + 649 + 8 + 1 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 8524459584 + 125350416 = 92328^2 + 11196^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×8649810000² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1166304 + ... + 1173696.

Almost surely, 2^8649810000 is an apocalyptic number.

8649810000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8649810000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16290468194).

8649810000 is an abundant number, since it is smaller than the sum of its proper divisors (23931126388).

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

8649810000 is a wasteful number, since it uses less digits than its factorization.

8649810000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7440 (or 7416 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8649810000 is about 93004.3547367541. The cubic root of 8649810000 is about 2052.7474563462.

Adding to 8649810000 its reverse (189468), we get a palindrome (8649999468).

It can be divided in two parts, 8649 and 810000, that multiplied together give a square (7005690000 = 83700²).

The spelling of 8649810000 in words is "eight billion, six hundred forty-nine million, eight hundred ten thousand".