6788468736 has 520 divisors, whose sum is σ = 24103819520. Its totient is φ = 1863254016.

The previous prime is 6788468723. The next prime is 6788468749. The reversal of 6788468736 is 6378648876.

6788468736 is a `hidden beast` number, since 67 + 88 + 468 + 7 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (6788468723) and next prime (6788468749).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (65028096) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85929945 + ... + 85930023.

Almost surely, 2^6788468736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6788468736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12051909760).

6788468736 is an abundant number, since it is smaller than the sum of its proper divisors (17315350784).

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

6788468736 is an equidigital number, since it uses as much as digits as its factorization.

6788468736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 128 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The square root of 6788468736 is about 82392.1642876311. The cubic root of 6788468736 is about 1893.4649664922.

The spelling of 6788468736 in words is "six billion, seven hundred eighty-eight million, four hundred sixty-eight thousand, seven hundred thirty-six".