6336434680641 has 96 divisors (see below), whose sum is σ = 10401955200000. Its totient is φ = 3684691430784.

The previous prime is 6336434680627. The next prime is 6336434680669. The reversal of 6336434680641 is 1460864346336.

6336434680641 is a `hidden beast` number, since 63 + 3 + 64 + 3 + 468 + 0 + 64 + 1 = 666.

It is not a de Polignac number, because 6336434680641 - 2⁶ = 6336434680577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6336434680601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2155981750 + ... + 2155984688.

It is an arithmetic number, because the mean of its divisors is an integer number (108353700000).

Almost surely, 2^{6336434680641} is an apocalyptic number.

It is an amenable number.

6336434680641 is a deficient number, since it is larger than the sum of its proper divisors (4065520519359).

6336434680641 is a wasteful number, since it uses less digits than its factorization.

6336434680641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5123 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 54.

The spelling of 6336434680641 in words is "six trillion, three hundred thirty-six billion, four hundred thirty-four million, six hundred eighty thousand, six hundred forty-one".