6476321627776 has 768 divisors, whose sum is σ = 18071042976000. Its totient is φ = 2232542822400.

The previous prime is 6476321627773. The next prime is 6476321627833. The reversal of 6476321627776 is 6777261236746.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (6476321627773) 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, 18346520016 + ... + 18346520368.

It is an arithmetic number, because the mean of its divisors is an integer number (23530003875).

Almost surely, 2^{6476321627776} 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 6476321627776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9035521488000).

6476321627776 is an abundant number, since it is smaller than the sum of its proper divisors (11594721348224).

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

6476321627776 is a wasteful number, since it uses less digits than its factorization.

6476321627776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 566 counting only the distinct ones).

The product of its digits is 149361408, while the sum is 64.

The spelling of 6476321627776 in words is "six trillion, four hundred seventy-six billion, three hundred twenty-one million, six hundred twenty-seven thousand, seven hundred seventy-six".