57642248067 has 16 divisors (see below), whose sum is σ = 79350190080. Its totient is φ = 37181692800.

The previous prime is 57642248033. The next prime is 57642248099. The reversal of 57642248067 is 76084224675.

It is not a de Polignac number, because 57642248067 - 2¹¹ = 57642246019 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57642248267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 476859 + ... + 585387.

It is an arithmetic number, because the mean of its divisors is an integer number (4959386880).

Almost surely, 2^57642248067 is an apocalyptic number.

57642248067 is a deficient number, since it is larger than the sum of its proper divisors (21707942013).

57642248067 is a wasteful number, since it uses less digits than its factorization.

57642248067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114274.

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 57642248067 in words is "fifty-seven billion, six hundred forty-two million, two hundred forty-eight thousand, sixty-seven".