6488131104 has 576 divisors, whose sum is σ = 24132536064. Its totient is φ = 1669165056.

The previous prime is 6488131103. The next prime is 6488131109. The reversal of 6488131104 is 4011318846.

It is a happy number.

6488131104 is a `hidden beast` number, since 648 + 8 + 1 + 3 + 1 + 1 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6488131103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37503562 + ... + 37503734.

It is an arithmetic number, because the mean of its divisors is an integer number (41896764).

Almost surely, 2^6488131104 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 6488131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12066268032).

6488131104 is an abundant number, since it is smaller than the sum of its proper divisors (17644404960).

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

6488131104 is a wasteful number, since it uses less digits than its factorization.

6488131104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 6488131104 is about 80548.9360823593. The cubic root of 6488131104 is about 1865.1189687086.

The spelling of 6488131104 in words is "six billion, four hundred eighty-eight million, one hundred thirty-one thousand, one hundred four".