6301318464 has 504 divisors, whose sum is σ = 23254216128. Its totient is φ = 1617960960.

The previous prime is 6301318399. The next prime is 6301318477. The reversal of 6301318464 is 4648131036.

It is a happy number.

6301318464 is a `hidden beast` number, since 63 + 0 + 131 + 8 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×6301318464² = 79413228769494638592, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11035299 + ... + 11035869.

Almost surely, 2^6301318464 is an apocalyptic number.

6301318464 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 6301318464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11627108064).

6301318464 is an abundant number, since it is smaller than the sum of its proper divisors (16952897664).

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

6301318464 is a wasteful number, since it uses less digits than its factorization.

6301318464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6301318464 is about 79380.8444399529. The cubic root of 6301318464 is about 1847.0435822339.

The spelling of 6301318464 in words is "six billion, three hundred one million, three hundred eighteen thousand, four hundred sixty-four".