6427006857 has 32 divisors (see below), whose sum is σ = 9601320960. Its totient is φ = 4248876240.

The previous prime is 6427006841. The next prime is 6427006879. The reversal of 6427006857 is 7586007246.

It is not a de Polignac number, because 6427006857 - 2⁴ = 6427006841 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6427206857) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2212468 + ... + 2215370.

It is an arithmetic number, because the mean of its divisors is an integer number (300041280).

Almost surely, 2^6427006857 is an apocalyptic number.

It is an amenable number.

6427006857 is a deficient number, since it is larger than the sum of its proper divisors (3174314103).

6427006857 is a wasteful number, since it uses less digits than its factorization.

6427006857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3570 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 6427006857 is about 80168.6151620446. The cubic root of 6427006857 is about 1859.2434253876.

The spelling of 6427006857 in words is "six billion, four hundred twenty-seven million, six thousand, eight hundred fifty-seven".