6855632064 has 168 divisors, whose sum is σ = 20349301440. Its totient is φ = 2205315072.

The previous prime is 6855632033. The next prime is 6855632093. The reversal of 6855632064 is 4602365586.

6855632064 is a `hidden beast` number, since 6 + 8 + 5 + 5 + 632 + 0 + 6 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1974522 + ... + 1977990.

Almost surely, 2^6855632064 is an apocalyptic number.

6855632064 is a gapful number since it is divisible by the number (64) 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 6855632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10174650720).

6855632064 is an abundant number, since it is smaller than the sum of its proper divisors (13493669376).

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

6855632064 is a wasteful number, since it uses less digits than its factorization.

6855632064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 6855632064 is about 82798.7443383050. The cubic root of 6855632064 is about 1899.6889669994.

The spelling of 6855632064 in words is "six billion, eight hundred fifty-five million, six hundred thirty-two thousand, sixty-four".