6631169328 has 800 divisors, whose sum is σ = 25581219840. Its totient is φ = 1612431360.

The previous prime is 6631169327. The next prime is 6631169329. The reversal of 6631169328 is 8239611366.

6631169328 is a `hidden beast` number, since 6 + 6 + 311 + 6 + 9 + 328 = 666.

It is an interprime number because it is at equal distance from previous prime (6631169327) and next prime (6631169329).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6631169327) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 90837900 + ... + 90837972.

Almost surely, 2^6631169328 is an apocalyptic number.

6631169328 is a gapful number since it is divisible by the number (68) 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 6631169328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12790609920).

6631169328 is an abundant number, since it is smaller than the sum of its proper divisors (18950050512).

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

6631169328 is a wasteful number, since it uses less digits than its factorization.

6631169328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 152 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 6631169328 is about 81431.9920424399. The cubic root of 6631169328 is about 1878.7256838857.

The spelling of 6631169328 in words is "six billion, six hundred thirty-one million, one hundred sixty-nine thousand, three hundred twenty-eight".