6268078080 has 576 divisors, whose sum is σ = 24684004800. Its totient is φ = 1512898560.

The previous prime is 6268078043. The next prime is 6268078097. The reversal of 6268078080 is 808708626.

It is a tau number, because it is divible by the number of its divisors (576).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27371406 + ... + 27371634.

It is an arithmetic number, because the mean of its divisors is an integer number (42854175).

Almost surely, 2^6268078080 is an apocalyptic number.

6268078080 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 6268078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12342002400).

6268078080 is an abundant number, since it is smaller than the sum of its proper divisors (18415926720).

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

6268078080 is a wasteful number, since it uses less digits than its factorization.

6268078080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 6268078080 is about 79171.1947617314. The cubic root of 6268078080 is about 1843.7900454694.

The spelling of 6268078080 in words is "six billion, two hundred sixty-eight million, seventy-eight thousand, eighty".