6735030016 has 288 divisors, whose sum is σ = 17389370880. Its totient is φ = 2554675200.

The previous prime is 6735030013. The next prime is 6735030037. The reversal of 6735030016 is 6100305376.

It is a self number, because there is not a number n which added to its sum of digits gives 6735030016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6735030013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15997486 + ... + 15997906.

It is an arithmetic number, because the mean of its divisors is an integer number (60379760).

Almost surely, 2^6735030016 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 6735030016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8694685440).

6735030016 is an abundant number, since it is smaller than the sum of its proper divisors (10654340864).

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

6735030016 is a wasteful number, since it uses less digits than its factorization.

6735030016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 6735030016 is about 82067.2286360396. The cubic root of 6735030016 is about 1888.4834297819.

The spelling of 6735030016 in words is "six billion, seven hundred thirty-five million, thirty thousand, sixteen".