6305464000 has 224 divisors, whose sum is σ = 17269724160. Its totient is φ = 2261376000.

The previous prime is 6305463977. The next prime is 6305464049. The reversal of 6305464000 is 4645036.

It is a self number, because there is not a number n which added to its sum of digits gives 6305464000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6951547 + ... + 6952453.

Almost surely, 2^6305464000 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 6305464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8634862080).

6305464000 is an abundant number, since it is smaller than the sum of its proper divisors (10964260160).

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

6305464000 is a wasteful number, since it uses less digits than its factorization.

6305464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 6305464000 is about 79406.9518367252. The cubic root of 6305464000 is about 1847.4485401902.

The spelling of 6305464000 in words is "six billion, three hundred five million, four hundred sixty-four thousand".