6687657900 has 648 divisors, whose sum is σ = 27278031872. Its totient is φ = 1340064000.

The previous prime is 6687657881. The next prime is 6687657913. The reversal of 6687657900 is 97567866.

It is a happy number.

6687657900 is a `hidden beast` number, since 6 + 68 + 7 + 6 + 579 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 23631159 + ... + 23631441.

Almost surely, 2^6687657900 is an apocalyptic number.

6687657900 is a gapful number since it is divisible by the number (60) 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 6687657900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13639015936).

6687657900 is an abundant number, since it is smaller than the sum of its proper divisors (20590373972).

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

6687657900 is a wasteful number, since it uses less digits than its factorization.

6687657900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 6687657900 is about 81778.1015920521. The cubic root of 6687657900 is about 1884.0453388145.

The spelling of 6687657900 in words is "six billion, six hundred eighty-seven million, six hundred fifty-seven thousand, nine hundred".