6305148720 has 240 divisors, whose sum is σ = 22859578560. Its totient is φ = 1548232704.

The previous prime is 6305148713. The next prime is 6305148743. The reversal of 6305148720 is 278415036.

6305148720 is a `hidden beast` number, since 63 + 0 + 514 + 87 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6860421 + ... + 6861339.

It is an arithmetic number, because the mean of its divisors is an integer number (95248244).

Almost surely, 2^6305148720 is an apocalyptic number.

6305148720 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 6305148720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11429789280).

6305148720 is an abundant number, since it is smaller than the sum of its proper divisors (16554429840).

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

6305148720 is a wasteful number, since it uses less digits than its factorization.

6305148720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6305148720 is about 79404.9665952955. The cubic root of 6305148720 is about 1847.4177482039.

The spelling of 6305148720 in words is "six billion, three hundred five million, one hundred forty-eight thousand, seven hundred twenty".