6335136768 has 352 divisors, whose sum is σ = 19100966400. Its totient is φ = 1857028096.

The previous prime is 6335136763. The next prime is 6335136779. The reversal of 6335136768 is 8676315336.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6335136763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71181268 + ... + 71181356.

Almost surely, 2^6335136768 is an apocalyptic number.

6335136768 is a gapful number since it is divisible by the number (68) 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 6335136768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9550483200).

6335136768 is an abundant number, since it is smaller than the sum of its proper divisors (12765829632).

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

6335136768 is a wasteful number, since it uses less digits than its factorization.

6335136768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 187 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 48.

The square root of 6335136768 is about 79593.5724038066. The cubic root of 6335136768 is about 1850.3419643482.

The spelling of 6335136768 in words is "six billion, three hundred thirty-five million, one hundred thirty-six thousand, seven hundred sixty-eight".