6478120681344 has 1152 divisors, whose sum is σ = 22650693811200. Its totient is φ = 1762437169152.

The previous prime is 6478120681313. The next prime is 6478120681379. The reversal of 6478120681344 is 4431860218746.

6478120681344 is a `hidden beast` number, since 6 + 478 + 120 + 6 + 8 + 1 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5873182297 + ... + 5873183399.

It is an arithmetic number, because the mean of its divisors is an integer number (19662060600).

Almost surely, 2^{6478120681344} is an apocalyptic number.

6478120681344 is a gapful number since it is divisible by the number (64) 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 6478120681344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11325346905600).

6478120681344 is an abundant number, since it is smaller than the sum of its proper divisors (16172573129856).

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

6478120681344 is a wasteful number, since it uses less digits than its factorization.

6478120681344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 6478120681344 in words is "six trillion, four hundred seventy-eight billion, one hundred twenty million, six hundred eighty-one thousand, three hundred forty-four".