6305146360 has 64 divisors (see below), whose sum is σ = 14701370400. Its totient is φ = 2430844416.

The previous prime is 6305146319. The next prime is 6305146391. The reversal of 6305146360 is 636415036.

It is a super-3 number, since 3×6305146360³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706647 + ... + 715513.

Almost surely, 2^6305146360 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 6305146360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7350685200).

6305146360 is an abundant number, since it is smaller than the sum of its proper divisors (8396224040).

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

6305146360 is a wasteful number, since it uses less digits than its factorization.

6305146360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9520 (or 9516 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 6305146360 is about 79404.9517347627. The cubic root of 6305146360 is about 1847.4175177094.

The spelling of 6305146360 in words is "six billion, three hundred five million, one hundred forty-six thousand, three hundred sixty".