6300973056 has 192 divisors, whose sum is σ = 19310054400. Its totient is φ = 1789820928.

The previous prime is 6300973039. The next prime is 6300973103. The reversal of 6300973056 is 6503790036.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×6300973056² = 79404522904875958272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10278606 + ... + 10279218.

It is an arithmetic number, because the mean of its divisors is an integer number (100573200).

Almost surely, 2^6300973056 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 6300973056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9655027200).

6300973056 is an abundant number, since it is smaller than the sum of its proper divisors (13009081344).

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

6300973056 is a wasteful number, since it uses less digits than its factorization.

6300973056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 39.

The square root of 6300973056 is about 79378.6687719062. The cubic root of 6300973056 is about 1847.0098329326.

The spelling of 6300973056 in words is "six billion, three hundred million, nine hundred seventy-three thousand, fifty-six".