6436940807808 has 1024 divisors, whose sum is σ = 23379535872000. Its totient is φ = 1704757985280.

The previous prime is 6436940807783. The next prime is 6436940807837. The reversal of 6436940807808 is 8087080496346.

6436940807808 is a `hidden beast` number, since 6 + 436 + 9 + 40 + 80 + 7 + 80 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1578066313 + ... + 1578070391.

It is an arithmetic number, because the mean of its divisors is an integer number (22831578000).

Almost surely, 2^{6436940807808} 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 6436940807808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11689767936000).

6436940807808 is an abundant number, since it is smaller than the sum of its proper divisors (16942595064192).

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

6436940807808 is a wasteful number, since it uses less digits than its factorization.

6436940807808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4230 (or 4212 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 6436940807808 in words is "six trillion, four hundred thirty-six billion, nine hundred forty million, eight hundred seven thousand, eight hundred eight".