6631526160 has 320 divisors, whose sum is σ = 26355456000. Its totient is φ = 1501244928.

The previous prime is 6631526159. The next prime is 6631526183. The reversal of 6631526160 is 616251366.

6631526160 is a `hidden beast` number, since 6 + 6 + 31 + 5 + 2 + 616 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1615791 + ... + 1619889.

It is an arithmetic number, because the mean of its divisors is an integer number (82360800).

Almost surely, 2^6631526160 is an apocalyptic number.

6631526160 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 6631526160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13177728000).

6631526160 is an abundant number, since it is smaller than the sum of its proper divisors (19723929840).

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

6631526160 is a wasteful number, since it uses less digits than its factorization.

6631526160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4235 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6631526160 is about 81434.1829946123. The cubic root of 6631526160 is about 1878.7593821867.

The spelling of 6631526160 in words is "six billion, six hundred thirty-one million, five hundred twenty-six thousand, one hundred sixty".