6086868480 has 960 divisors, whose sum is σ = 27209115648. Its totient is φ = 1220935680.

The previous prime is 6086868457. The next prime is 6086868497. The reversal of 6086868480 is 848686806.

6086868480 is a `hidden beast` number, since 6 + 0 + 86 + 86 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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, 83381724 + ... + 83381796.

Almost surely, 2^6086868480 is an apocalyptic number.

6086868480 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 6086868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13604557824).

6086868480 is an abundant number, since it is smaller than the sum of its proper divisors (21122247168).

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

6086868480 is a wasteful number, since it uses less digits than its factorization.

6086868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The square root of 6086868480 is about 78018.3855254644. The cubic root of 6086868480 is about 1825.8480807202.

The spelling of 6086868480 in words is "six billion, eighty-six million, eight hundred sixty-eight thousand, four hundred eighty".