6303872736 has 288 divisors, whose sum is σ = 21747670560. Its totient is φ = 1770854400.

The previous prime is 6303872719. The next prime is 6303872737. The reversal of 6303872736 is 6372783036.

6303872736 is a `hidden beast` number, since 630 + 3 + 8 + 7 + 2 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6303872736² = 79477622943368251392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6303872691 and 6303872700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6303872737) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2581276 + ... + 2583716.

It is an arithmetic number, because the mean of its divisors is an integer number (75512745).

Almost surely, 2^6303872736 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 6303872736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10873835280).

6303872736 is an abundant number, since it is smaller than the sum of its proper divisors (15443797824).

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

6303872736 is a wasteful number, since it uses less digits than its factorization.

6303872736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 6303872736 is about 79396.9315276101. The cubic root of 6303872736 is about 1847.2931180735.

The spelling of 6303872736 in words is "six billion, three hundred three million, eight hundred seventy-two thousand, seven hundred thirty-six".