6085860480 has 640 divisors, whose sum is σ = 25687157760. Its totient is φ = 1343692800.

The previous prime is 6085860457. The next prime is 6085860499. The reversal of 6085860480 is 840685806.

6085860480 is a `hidden beast` number, since 60 + 8 + 58 + 60 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11249010 + ... + 11249550.

It is an arithmetic number, because the mean of its divisors is an integer number (40136184).

Almost surely, 2^6085860480 is an apocalyptic number.

6085860480 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 6085860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12843578880).

6085860480 is an abundant number, since it is smaller than the sum of its proper divisors (19601297280).

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

6085860480 is a wasteful number, since it uses less digits than its factorization.

6085860480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 6085860480 is about 78011.9252422346. The cubic root of 6085860480 is about 1825.7472868842.

The spelling of 6085860480 in words is "six billion, eighty-five million, eight hundred sixty thousand, four hundred eighty".