6736631328 has 720 divisors, whose sum is σ = 25027833600. Its totient is φ = 1767951360.

The previous prime is 6736631287. The next prime is 6736631353. The reversal of 6736631328 is 8231366376.

6736631328 is a `hidden beast` number, since 6 + 7 + 3 + 6 + 631 + 3 + 2 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 114180163 + ... + 114180221.

It is an arithmetic number, because the mean of its divisors is an integer number (34760880).

Almost surely, 2^6736631328 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 6736631328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12513916800).

6736631328 is an abundant number, since it is smaller than the sum of its proper divisors (18291202272).

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

6736631328 is a wasteful number, since it uses less digits than its factorization.

6736631328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 131 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 6736631328 is about 82076.9841551211. The cubic root of 6736631328 is about 1888.6330857120.

The spelling of 6736631328 in words is "six billion, seven hundred thirty-six million, six hundred thirty-one thousand, three hundred twenty-eight".