6305630464 has 81 divisors (see below), whose sum is σ = 14662269657. Its totient is φ = 2698601472.

The previous prime is 6305630459. The next prime is 6305630537. The reversal of 6305630464 is 4640365036.

The square root of 6305630464 is 79408.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 841464064 + 5464166400 = 29008^2 + 73920^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8893342 + ... + 8894050.

Almost surely, 2^6305630464 is an apocalyptic number.

6305630464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6305630464 is the 79408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6305630464

6305630464 is an abundant number, since it is smaller than the sum of its proper divisors (8356639193).

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

6305630464 is an frugal number, since it uses more digits than its factorization.

6305630464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 37.

The cubic root of 6305630464 is about 1847.4647975699.

The spelling of 6305630464 in words is "six billion, three hundred five million, six hundred thirty thousand, four hundred sixty-four".