6733902006 has 72 divisors (see below), whose sum is σ = 16222752360. Its totient is φ = 2069557776.

The previous prime is 6733901983. The next prime is 6733902013. The reversal of 6733902006 is 6002093376.

6733902006 is a `hidden beast` number, since 67 + 3 + 390 + 200 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 7838805 + ... + 7839663.

It is an arithmetic number, because the mean of its divisors is an integer number (225316005).

Almost surely, 2^6733902006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6733902006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8111376180).

6733902006 is an abundant number, since it is smaller than the sum of its proper divisors (9488850354).

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

6733902006 is an equidigital number, since it uses as much as digits as its factorization.

6733902006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 6733902006 is about 82060.3558729792. The cubic root of 6733902006 is about 1888.3779936207.

The spelling of 6733902006 in words is "six billion, seven hundred thirty-three million, nine hundred two thousand, six".