6300060480 has 672 divisors, whose sum is σ = 25942625280. Its totient is φ = 1373552640.

The previous prime is 6300060463. The next prime is 6300060499. The reversal of 6300060480 is 840600036.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57798666 + ... + 57798774.

Almost surely, 2^6300060480 is an apocalyptic number.

6300060480 is a gapful number since it is divisible by the number (60) 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 6300060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12971312640).

6300060480 is an abundant number, since it is smaller than the sum of its proper divisors (19642564800).

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

6300060480 is a wasteful number, since it uses less digits than its factorization.

6300060480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6300060480 is about 79372.9203192121. The cubic root of 6300060480 is about 1846.9206605561.

The spelling of 6300060480 in words is "six billion, three hundred million, sixty thousand, four hundred eighty".