643776677346 has 48 divisors (see below), whose sum is σ = 1443592130400. Its totient is φ = 189811278720.

The previous prime is 643776677329. The next prime is 643776677351.

643776677346 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3472171 + ... + 3652878.

It is an arithmetic number, because the mean of its divisors is an integer number (30074836050).

Almost surely, 2^643776677346 is an apocalyptic number.

643776677346 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

643776677346 is an abundant number, since it is smaller than the sum of its proper divisors (799815453054).

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

643776677346 is a wasteful number, since it uses less digits than its factorization.

643776677346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7125139 (or 7125102 counting only the distinct ones).

The product of its digits is 448084224, while the sum is 66.

The spelling of 643776677346 in words is "six hundred forty-three billion, seven hundred seventy-six million, six hundred seventy-seven thousand, three hundred forty-six".