6478080000 has 480 divisors, whose sum is σ = 24766822080. Its totient is φ = 1474560000.

The previous prime is 6478079953. The next prime is 6478080017. The reversal of 6478080000 is 808746.

It is a tau number, because it is divible by the number of its divisors (480).

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 39 ways as a sum of consecutive naturals, for example, 26879880 + ... + 26880120.

It is an arithmetic number, because the mean of its divisors is an integer number (51597546).

Almost surely, 2^6478080000 is an apocalyptic number.

6478080000 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 6478080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12383411040).

6478080000 is an abundant number, since it is smaller than the sum of its proper divisors (18288742080).

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

6478080000 is an equidigital number, since it uses as much as digits as its factorization.

6478080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 6478080000 is about 80486.5206105967. The cubic root of 6478080000 is about 1864.1553530868.

Adding to 6478080000 its reverse (808746), we get a palindrome (6478888746).

The spelling of 6478080000 in words is "six billion, four hundred seventy-eight million, eighty thousand".