6732638900 has 216 divisors, whose sum is σ = 16651934208. Its totient is φ = 2358720000.

The previous prime is 6732638897. The next prime is 6732638903. The reversal of 6732638900 is 98362376.

It is an interprime number because it is at equal distance from previous prime (6732638897) and next prime (6732638903).

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6732638903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37196810 + ... + 37196990.

It is an arithmetic number, because the mean of its divisors is an integer number (77092288).

Almost surely, 2^6732638900 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 6732638900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8325967104).

6732638900 is an abundant number, since it is smaller than the sum of its proper divisors (9919295308).

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

6732638900 is a wasteful number, since it uses less digits than its factorization.

6732638900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 44.

The square root of 6732638900 is about 82052.6593109571. The cubic root of 6732638900 is about 1888.2599159335.

The spelling of 6732638900 in words is "six billion, seven hundred thirty-two million, six hundred thirty-eight thousand, nine hundred".