6486491118240 has 864 divisors, whose sum is σ = 26071647323904. Its totient is φ = 1464142417920.

The previous prime is 6486491118223. The next prime is 6486491118259. The reversal of 6486491118240 is 428111946846.

6486491118240 is a `hidden beast` number, since 6 + 486 + 4 + 9 + 1 + 118 + 2 + 40 = 666.

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 143 ways as a sum of consecutive naturals, for example, 2770819470 + ... + 2770821810.

It is an arithmetic number, because the mean of its divisors is an integer number (30175517736).

Almost surely, 2^{6486491118240} is an apocalyptic number.

6486491118240 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 6486491118240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13035823661952).

6486491118240 is an abundant number, since it is smaller than the sum of its proper divisors (19585156205664).

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

6486491118240 is a wasteful number, since it uses less digits than its factorization.

6486491118240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 6486491118240 in words is "six trillion, four hundred eighty-six billion, four hundred ninety-one million, one hundred eighteen thousand, two hundred forty".