6681436600464 has 160 divisors (see below), whose sum is σ = 19668927358080. Its totient is φ = 2170284595200.

The previous prime is 6681436600459. The next prime is 6681436600481. The reversal of 6681436600464 is 4640066341866.

It is a happy number.

6681436600464 is a `hidden beast` number, since 6 + 6 + 81 + 43 + 6 + 60 + 0 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6681436600464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14959099 + ... + 15399269.

It is an arithmetic number, because the mean of its divisors is an integer number (122930795988).

Almost surely, 2^{6681436600464} 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 6681436600464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9834463679040).

6681436600464 is an abundant number, since it is smaller than the sum of its proper divisors (12987490757616).

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

6681436600464 is a wasteful number, since it uses less digits than its factorization.

6681436600464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441086 (or 441074 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 6681436600464 in words is "six trillion, six hundred eighty-one billion, four hundred thirty-six million, six hundred thousand, four hundred sixty-four".