6642778772466 has 192 divisors, whose sum is σ = 15787739455488. Its totient is φ = 2010060969984.

The previous prime is 6642778772423. The next prime is 6642778772549.

6642778772466 is a `hidden beast` number, since 6 + 6 + 4 + 27 + 78 + 7 + 72 + 466 = 666.

6642778772466 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 6642778772394 and 6642778772403.

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 95 ways as a sum of consecutive naturals, for example, 724161856 + ... + 724171028.

It is an arithmetic number, because the mean of its divisors is an integer number (82227809664).

Almost surely, 2^{6642778772466} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6642778772466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7893869727744).

6642778772466 is an abundant number, since it is smaller than the sum of its proper divisors (9144960683022).

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

6642778772466 is a wasteful number, since it uses less digits than its factorization.

6642778772466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9785 (or 9782 counting only the distinct ones).

The product of its digits is 1593188352, while the sum is 72.

The spelling of 6642778772466 in words is "six trillion, six hundred forty-two billion, seven hundred seventy-eight million, seven hundred seventy-two thousand, four hundred sixty-six".