6427532160 has 768 divisors, whose sum is σ = 27495936000. Its totient is φ = 1351139328.

The previous prime is 6427532149. The next prime is 6427532171. The reversal of 6427532160 is 612357246.

6427532160 is a `hidden beast` number, since 6 + 4 + 275 + 321 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (6427532149) and next prime (6427532171).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26893321 + ... + 26893559.

It is an arithmetic number, because the mean of its divisors is an integer number (35802000).

Almost surely, 2^6427532160 is an apocalyptic number.

6427532160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6427532160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13747968000).

6427532160 is an abundant number, since it is smaller than the sum of its proper divisors (21068403840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6427532160 is a wasteful number, since it uses less digits than its factorization.

6427532160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 6427532160 is about 80171.8913335590. The cubic root of 6427532160 is about 1859.2940782842.

The spelling of 6427532160 in words is "six billion, four hundred twenty-seven million, five hundred thirty-two thousand, one hundred sixty".