6335646045696 has 960 divisors, whose sum is σ = 21681988263936. Its totient is φ = 1828235059200.

The previous prime is 6335646045689. The next prime is 6335646045793. The reversal of 6335646045696 is 6965406465336.

6335646045696 is a `hidden beast` number, since 6 + 3 + 3 + 5 + 6 + 4 + 60 + 4 + 569 + 6 = 666.

It is a super-2 number, since 2×6335646045696² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13566693655 + ... + 13566694121.

Almost surely, 2^{6335646045696} is an apocalyptic number.

6335646045696 is a gapful number since it is divisible by the number (66) 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 6335646045696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10840994131968).

6335646045696 is an abundant number, since it is smaller than the sum of its proper divisors (15346342218240).

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

6335646045696 is a wasteful number, since it uses less digits than its factorization.

6335646045696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 251942400, while the sum is 63.

The spelling of 6335646045696 in words is "six trillion, three hundred thirty-five billion, six hundred forty-six million, forty-five thousand, six hundred ninety-six".