6302659968 has 288 divisors, whose sum is σ = 21029856120. Its totient is φ = 1796505600.

The previous prime is 6302659963. The next prime is 6302659969. The reversal of 6302659968 is 8699562036.

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

It is a super-2 number, since 2×6302659968² = 79447045344459522048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6302659963) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3661348 + ... + 3663068.

Almost surely, 2^6302659968 is an apocalyptic number.

6302659968 is a gapful number since it is divisible by the number (68) 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 6302659968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10514928060).

6302659968 is an abundant number, since it is smaller than the sum of its proper divisors (14727196152).

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

6302659968 is a wasteful number, since it uses less digits than its factorization.

6302659968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The square root of 6302659968 is about 79389.2937870088. The cubic root of 6302659968 is about 1847.1746468967.

The spelling of 6302659968 in words is "six billion, three hundred two million, six hundred fifty-nine thousand, nine hundred sixty-eight".