6481276696440 has 768 divisors, whose sum is σ = 26398228147200. Its totient is φ = 1342691500032.

The previous prime is 6481276696429. The next prime is 6481276696459. The reversal of 6481276696440 is 446966721846.

It is a happy number.

6481276696440 is a `hidden beast` number, since 6 + 4 + 8 + 127 + 6 + 69 + 6 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 542859991 + ... + 542871929.

It is an arithmetic number, because the mean of its divisors is an integer number (34372692900).

Almost surely, 2^{6481276696440} is an apocalyptic number.

6481276696440 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 6481276696440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13199114073600).

6481276696440 is an abundant number, since it is smaller than the sum of its proper divisors (19916951450760).

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

6481276696440 is a wasteful number, since it uses less digits than its factorization.

6481276696440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12276 (or 12269 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 6481276696440 in words is "six trillion, four hundred eighty-one billion, two hundred seventy-six million, six hundred ninety-six thousand, four hundred forty".