6306111480 has 128 divisors (see below), whose sum is σ = 20421849600. Its totient is φ = 1553029632.

The previous prime is 6306111439. The next prime is 6306111491. The reversal of 6306111480 is 841116036.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40647 + ... + 119433.

It is an arithmetic number, because the mean of its divisors is an integer number (159545700).

Almost surely, 2^6306111480 is an apocalyptic number.

6306111480 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 6306111480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10210924800).

6306111480 is an abundant number, since it is smaller than the sum of its proper divisors (14115738120).

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

6306111480 is a wasteful number, since it uses less digits than its factorization.

6306111480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78853 (or 78849 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 6306111480 is about 79411.0287050860. The cubic root of 6306111480 is about 1847.5117734452.

The spelling of 6306111480 in words is "six billion, three hundred six million, one hundred eleven thousand, four hundred eighty".