6488480745936 has 480 divisors, whose sum is σ = 21283337207808. Its totient is φ = 1807131617280.

The previous prime is 6488480745931. The next prime is 6488480745953. The reversal of 6488480745936 is 6395470848846.

6488480745936 is a `hidden beast` number, since 6 + 48 + 8 + 480 + 74 + 5 + 9 + 36 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6488480745931) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3543680541 + ... + 3543682371.

Almost surely, 2^{6488480745936} 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 6488480745936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10641668603904).

6488480745936 is an abundant number, since it is smaller than the sum of its proper divisors (14794856461872).

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

6488480745936 is a wasteful number, since it uses less digits than its factorization.

6488480745936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 6488480745936 in words is "six trillion, four hundred eighty-eight billion, four hundred eighty million, seven hundred forty-five thousand, nine hundred thirty-six".