6457394937546 has 72 divisors (see below), whose sum is σ = 16285754259684. Its totient is φ = 1843781587200.

The previous prime is 6457394937509. The next prime is 6457394937547.

6457394937546 is a `hidden beast` number, since 6 + 4 + 5 + 7 + 3 + 9 + 49 + 37 + 546 = 666.

6457394937546 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 6455080269225 + 2314668321 = 2540685^2 + 48111^2 .

It is not an unprimeable number, because it can be changed into a prime (6457394937547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 987405 + ... + 3726896.

Almost surely, 2^{6457394937546} is an apocalyptic number.

6457394937546 is an abundant number, since it is smaller than the sum of its proper divisors (9828359322138).

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

6457394937546 is a wasteful number, since it uses less digits than its factorization.

6457394937546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4715876 (or 4715866 counting only the distinct ones).

The product of its digits is 2057529600, while the sum is 72.

The spelling of 6457394937546 in words is "six trillion, four hundred fifty-seven billion, three hundred ninety-four million, nine hundred thirty-seven thousand, five hundred forty-six".