557646646755 has 32 divisors (see below), whose sum is σ = 973448034048. Its totient is φ = 270346032000.

The previous prime is 557646646729. The next prime is 557646646769.

557646646755 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 557646646755 - 2¹¹ = 557646644707 is a prime.

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, 1462992 + ... + 1804338.

It is an arithmetic number, because the mean of its divisors is an integer number (30420251064).

Almost surely, 2^557646646755 is an apocalyptic number.

557646646755 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

557646646755 is a deficient number, since it is larger than the sum of its proper divisors (415801387293).

557646646755 is a wasteful number, since it uses less digits than its factorization.

557646646755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351267.

The product of its digits is 635040000, while the sum is 66.

The spelling of 557646646755 in words is "five hundred fifty-seven billion, six hundred forty-six million, six hundred forty-six thousand, seven hundred fifty-five".