6481997278848 has 1152 divisors, whose sum is σ = 23770236672000. Its totient is φ = 1680326000640.

The previous prime is 6481997278781. The next prime is 6481997278849. The reversal of 6481997278848 is 8488727991846.

6481997278848 is a `hidden beast` number, since 6 + 481 + 9 + 97 + 2 + 7 + 8 + 8 + 48 = 666.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3121348608) is a multiple of the sum of its prime divisors (768).

It is not an unprimeable number, because it can be changed into a prime (6481997278849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14436519328 + ... + 14436519776.

It is an arithmetic number, because the mean of its divisors is an integer number (20633886000).

Almost surely, 2^{6481997278848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6481997278848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11885118336000).

6481997278848 is an abundant number, since it is smaller than the sum of its proper divisors (17288239393152).

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

6481997278848 is a wasteful number, since it uses less digits than its factorization.

6481997278848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 768 counting only the distinct ones).

The product of its digits is 3121348608, while the sum is 81.

The spelling of 6481997278848 in words is "six trillion, four hundred eighty-one billion, nine hundred ninety-seven million, two hundred seventy-eight thousand, eight hundred forty-eight".