4006577657 has 4 divisors (see below), whose sum is σ = 4044022416. Its totient is φ = 3969132900.

The previous prime is 4006577647. The next prime is 4006577669. The reversal of 4006577657 is 7567756004.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 4006577657 - 2⁶ = 4006577593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4006577647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18722219 + ... + 18722432.

It is an arithmetic number, because the mean of its divisors is an integer number (1011005604).

Almost surely, 2^4006577657 is an apocalyptic number.

It is an amenable number.

4006577657 is a deficient number, since it is larger than the sum of its proper divisors (37444759).

4006577657 is a wasteful number, since it uses less digits than its factorization.

4006577657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37444758.

The product of its (nonzero) digits is 1234800, while the sum is 47.

The square root of 4006577657 is about 63297.5327876214. The cubic root of 4006577657 is about 1588.2706904304.

The spelling of 4006577657 in words is "four billion, six million, five hundred seventy-seven thousand, six hundred fifty-seven".