6086067840 has 640 divisors, whose sum is σ = 23637398400. Its totient is φ = 1487020032.

The previous prime is 6086067781. The next prime is 6086067851. The reversal of 6086067840 is 487606806.

It is a happy number.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36443437 + ... + 36443603.

It is an arithmetic number, because the mean of its divisors is an integer number (36933435).

Almost surely, 2^6086067840 is an apocalyptic number.

6086067840 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 6086067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11818699200).

6086067840 is an abundant number, since it is smaller than the sum of its proper divisors (17551330560).

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

6086067840 is a wasteful number, since it uses less digits than its factorization.

6086067840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6086067840 is about 78013.2542584912. The cubic root of 6086067840 is about 1825.7680225254.

The spelling of 6086067840 in words is "six billion, eighty-six million, sixty-seven thousand, eight hundred forty".