6507919968 has 192 divisors, whose sum is σ = 19179224064. Its totient is φ = 1915200000.

The previous prime is 6507919949. The next prime is 6507919969. The reversal of 6507919968 is 8699197056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6507919969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11397123 + ... + 11397693.

It is an arithmetic number, because the mean of its divisors is an integer number (99891792).

Almost surely, 2^6507919968 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 6507919968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9589612032).

6507919968 is an abundant number, since it is smaller than the sum of its proper divisors (12671304096).

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

6507919968 is a wasteful number, since it uses less digits than its factorization.

6507919968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 60.

The square root of 6507919968 is about 80671.6800866326. The cubic root of 6507919968 is about 1867.0132545786.

The spelling of 6507919968 in words is "six billion, five hundred seven million, nine hundred nineteen thousand, nine hundred sixty-eight".