6629732928 has 672 divisors, whose sum is σ = 25782422400. Its totient is φ = 1651249152.

The previous prime is 6629732903. The next prime is 6629732929. The reversal of 6629732928 is 8292379266.

It is a happy number.

6629732928 is a `hidden beast` number, since 6 + 6 + 297 + 329 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (3919104) is a multiple of the sum of its prime factors (384).

It is not an unprimeable number, because it can be changed into a prime (6629732929) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 20913826 + ... + 20914142.

It is an arithmetic number, because the mean of its divisors is an integer number (38366700).

Almost surely, 2^6629732928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6629732928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12891211200).

6629732928 is an abundant number, since it is smaller than the sum of its proper divisors (19152689472).

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

6629732928 is a wasteful number, since it uses less digits than its factorization.

6629732928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 361 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 6629732928 is about 81423.1719352667. The cubic root of 6629732928 is about 1878.5900217165.

It can be divided in two parts, 66297 and 32928, that added together give a square (99225 = 315²).

The spelling of 6629732928 in words is "six billion, six hundred twenty-nine million, seven hundred thirty-two thousand, nine hundred twenty-eight".