6302441664 has 168 divisors, whose sum is σ = 19285793280. Its totient is φ = 1961971200.

The previous prime is 6302441647. The next prime is 6302441681. The reversal of 6302441664 is 4661442036.

6302441664 is a `hidden beast` number, since 630 + 2 + 4 + 4 + 16 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6302441647) and next prime (6302441681).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 772969 + ... + 781079.

Almost surely, 2^6302441664 is an apocalyptic number.

6302441664 is a gapful number since it is divisible by the number (64) 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 6302441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9642896640).

6302441664 is an abundant number, since it is smaller than the sum of its proper divisors (12983351616).

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

6302441664 is a wasteful number, since it uses less digits than its factorization.

6302441664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8219 (or 8206 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 6302441664 is about 79387.9188793862. The cubic root of 6302441664 is about 1847.1533199082.

The spelling of 6302441664 in words is "six billion, three hundred two million, four hundred forty-one thousand, six hundred sixty-four".