8680648900 has 189 divisors, whose sum is σ = 24103680573. Its totient is φ = 2705656800.

The previous prime is 8680648871. The next prime is 8680648903. The reversal of 8680648900 is 98460868.

The square root of 8680648900 is 93170.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3125033604 + 5555615296 = 55902^2 + 74536^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (8680648903) 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 62 ways as a sum of consecutive naturals, for example, 789149895 + ... + 789149905.

Almost surely, 2^8680648900 is an apocalyptic number.

8680648900 is the 93170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8680648900

8680648900 is an abundant number, since it is smaller than the sum of its proper divisors (15423031673).

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

8680648900 is an frugal number, since it uses more digits than its factorization.

8680648900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 49.

The cubic root of 8680648900 is about 2055.1840952126.

Multiplying 8680648900 by its sum of digits (49), we get a square (425351796100 = 652190²).

8680648900 divided by its sum of digits (49) gives a square (177156100 = 13310²).

The spelling of 8680648900 in words is "eight billion, six hundred eighty million, six hundred forty-eight thousand, nine hundred".