6481488106240 has 288 divisors, whose sum is σ = 18735993400320. Its totient is φ = 2098606620672.

The previous prime is 6481488106187. The next prime is 6481488106253. The reversal of 6481488106240 is 426018841846.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53906029 + ... + 54026131.

It is an arithmetic number, because the mean of its divisors is an integer number (65055532640).

Almost surely, 2^{6481488106240} 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 6481488106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9367996700160).

6481488106240 is an abundant number, since it is smaller than the sum of its proper divisors (12254505294080).

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

6481488106240 is a wasteful number, since it uses less digits than its factorization.

6481488106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120467 (or 120453 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 52.

The spelling of 6481488106240 in words is "six trillion, four hundred eighty-one billion, four hundred eighty-eight million, one hundred six thousand, two hundred forty".