6738390000 has 600 divisors, whose sum is σ = 25380875520. Its totient is φ = 1728864000.

The previous prime is 6738389981. The next prime is 6738390019. The reversal of 6738390000 is 938376.

It is an interprime number because it is at equal distance from previous prime (6738389981) and next prime (6738390019).

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 119 ways as a sum of consecutive naturals, for example, 114209971 + ... + 114210029.

Almost surely, 2^6738390000 is an apocalyptic number.

6738390000 is a gapful number since it is divisible by the number (60) 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 6738390000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12690437760).

6738390000 is an abundant number, since it is smaller than the sum of its proper divisors (18642485520).

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

6738390000 is an equidigital number, since it uses as much as digits as its factorization.

6738390000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 6738390000 is about 82087.6970075297. The cubic root of 6738390000 is about 1888.7974209200.

The spelling of 6738390000 in words is "six billion, seven hundred thirty-eight million, three hundred ninety thousand".