6300480480 has 96 divisors (see below), whose sum is σ = 22681741824. Its totient is φ = 1440109056.

The previous prime is 6300480451. The next prime is 6300480481. The reversal of 6300480480 is 840840036.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×6300480480² = 79392108557722060800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6300480481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 934212 + ... + 940931.

It is an arithmetic number, because the mean of its divisors is an integer number (236268144).

Almost surely, 2^6300480480 is an apocalyptic number.

6300480480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6300480480 is an abundant number, since it is smaller than the sum of its proper divisors (16381261344).

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

6300480480 is a wasteful number, since it uses less digits than its factorization.

6300480480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875168 (or 1875160 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 6300480480 is about 79375.5660137299. The cubic root of 6300480480 is about 1846.9617019315.

The spelling of 6300480480 in words is "six billion, three hundred million, four hundred eighty thousand, four hundred eighty".