6687368910 has 160 divisors (see below), whose sum is σ = 18829419840. Its totient is φ = 1699771392.

The previous prime is 6687368899. The next prime is 6687368911. The reversal of 6687368910 is 198637866.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6687368911) 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 79 ways as a sum of consecutive naturals, for example, 8066376 + ... + 8067204.

It is an arithmetic number, because the mean of its divisors is an integer number (117683874).

Almost surely, 2^6687368910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6687368910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9414709920).

6687368910 is an abundant number, since it is smaller than the sum of its proper divisors (12142050930).

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

6687368910 is a wasteful number, since it uses less digits than its factorization.

6687368910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 6687368910 is about 81776.3346574056. The cubic root of 6687368910 is about 1884.0182003597.

The spelling of 6687368910 in words is "six billion, six hundred eighty-seven million, three hundred sixty-eight thousand, nine hundred ten".