6509748595968 has 216 divisors, whose sum is σ = 19010018008800. Its totient is φ = 2142251200512.

The previous prime is 6509748595967. The next prime is 6509748595969. The reversal of 6509748595968 is 8695958479056.

6509748595968 is a `hidden beast` number, since 6 + 509 + 7 + 4 + 8 + 59 + 59 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (6509748595967) and next prime (6509748595969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6509748595963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57269046 + ... + 57382602.

Almost surely, 2^{6509748595968} 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 6509748595968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9505009004400).

6509748595968 is an abundant number, since it is smaller than the sum of its proper divisors (12500269412832).

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

6509748595968 is a wasteful number, since it uses less digits than its factorization.

6509748595968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113897 (or 113880 counting only the distinct ones).

The product of its (nonzero) digits is 5878656000, while the sum is 81.

The spelling of 6509748595968 in words is "six trillion, five hundred nine billion, seven hundred forty-eight million, five hundred ninety-five thousand, nine hundred sixty-eight".