6086976480 has 576 divisors, whose sum is σ = 24489174528. Its totient is φ = 1362493440.

The previous prime is 6086976461. The next prime is 6086976503. The reversal of 6086976480 is 846796806.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 9865132 + ... + 9865748.

It is an arithmetic number, because the mean of its divisors is an integer number (42515928).

Almost surely, 2^6086976480 is an apocalyptic number.

6086976480 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 6086976480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12244587264).

6086976480 is an abundant number, since it is smaller than the sum of its proper divisors (18402198048).

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

6086976480 is a wasteful number, since it uses less digits than its factorization.

6086976480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 6086976480 is about 78019.0776669399. The cubic root of 6086976480 is about 1825.8588793997.

The spelling of 6086976480 in words is "six billion, eighty-six million, nine hundred seventy-six thousand, four hundred eighty".