6768304920 has 640 divisors, whose sum is σ = 26001138240. Its totient is φ = 1567641600.

The previous prime is 6768304913. The next prime is 6768304999. The reversal of 6768304920 is 294038676.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 67012870 + ... + 67012970.

Almost surely, 2^6768304920 is an apocalyptic number.

6768304920 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 6768304920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13000569120).

6768304920 is an abundant number, since it is smaller than the sum of its proper divisors (19232833320).

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

6768304920 is a wasteful number, since it uses less digits than its factorization.

6768304920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6768304920 is about 82269.7083986567. The cubic root of 6768304920 is about 1891.5883850554.

The spelling of 6768304920 in words is "six billion, seven hundred sixty-eight million, three hundred four thousand, nine hundred twenty".