6427672953 has 32 divisors (see below), whose sum is σ = 9980361216. Its totient is φ = 3643588608.

The previous prime is 6427672883. The next prime is 6427672973. The reversal of 6427672953 is 3592767246.

It is not a de Polignac number, because 6427672953 - 2¹⁴ = 6427656569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 6427672896 and 6427672905.

It is not an unprimeable number, because it can be changed into a prime (6427672973) by changing a digit.

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, 71976 + ... + 134297.

It is an arithmetic number, because the mean of its divisors is an integer number (311886288).

Almost surely, 2^6427672953 is an apocalyptic number.

It is an amenable number.

6427672953 is a deficient number, since it is larger than the sum of its proper divisors (3552688263).

6427672953 is a wasteful number, since it uses less digits than its factorization.

6427672953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206353.

The product of its digits is 3810240, while the sum is 51.

The square root of 6427672953 is about 80172.7693983437. The cubic root of 6427672953 is about 1859.3076539289.

The spelling of 6427672953 in words is "six billion, four hundred twenty-seven million, six hundred seventy-two thousand, nine hundred fifty-three".