6827452320 has 96 divisors (see below), whose sum is σ = 23160840192. Its totient is φ = 1680602112.

The previous prime is 6827452301. The next prime is 6827452327. The reversal of 6827452320 is 232547286.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×6827452320² = 93228210363746764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (6827452327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 540832 + ... + 553311.

It is an arithmetic number, because the mean of its divisors is an integer number (241258752).

Almost surely, 2^6827452320 is an apocalyptic number.

6827452320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6827452320 is an abundant number, since it is smaller than the sum of its proper divisors (16333387872).

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

6827452320 is a wasteful number, since it uses less digits than its factorization.

6827452320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094174 (or 1094166 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 6827452320 is about 82628.3989921141. The cubic root of 6827452320 is about 1897.0825326521.

The spelling of 6827452320 in words is "six billion, eight hundred twenty-seven million, four hundred fifty-two thousand, three hundred twenty".