6242806080 has 392 divisors, whose sum is σ = 25479036672. Its totient is φ = 1426553856.

The previous prime is 6242806057. The next prime is 6242806081. The reversal of 6242806080 is 806082426.

6242806080 is a `hidden beast` number, since 6 + 2 + 42 + 8 + 0 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6242806081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1631049 + ... + 1634871.

Almost surely, 2^6242806080 is an apocalyptic number.

6242806080 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 6242806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12739518336).

6242806080 is an abundant number, since it is smaller than the sum of its proper divisors (19236230592).

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

6242806080 is an equidigital number, since it uses as much as digits as its factorization.

6242806080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3865 (or 3840 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6242806080 is about 79011.4300592009. The cubic root of 6242806080 is about 1841.3087412455.

The spelling of 6242806080 in words is "six billion, two hundred forty-two million, eight hundred six thousand, eighty".