6142507677 has 48 divisors (see below), whose sum is σ = 9677519280. Its totient is φ = 3738617856.

The previous prime is 6142507649. The next prime is 6142507681. The reversal of 6142507677 is 7767052416.

6142507677 is a `hidden beast` number, since 614 + 25 + 0 + 7 + 6 + 7 + 7 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1977225156 + 4165282521 = 44466^2 + 64539^2 .

It is not a de Polignac number, because 6142507677 - 2⁸ = 6142507421 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6142507687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2110099 + ... + 2113007.

It is an arithmetic number, because the mean of its divisors is an integer number (201614985).

Almost surely, 2^6142507677 is an apocalyptic number.

It is an amenable number.

6142507677 is a deficient number, since it is larger than the sum of its proper divisors (3535011603).

6142507677 is a wasteful number, since it uses less digits than its factorization.

6142507677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 6142507677 is about 78374.1518423007. The cubic root of 6142507677 is about 1831.3944875888.

The spelling of 6142507677 in words is "six billion, one hundred forty-two million, five hundred seven thousand, six hundred seventy-seven".