6509967928320 has 352 divisors, whose sum is σ = 21930201543168. Its totient is φ = 1644985188352.

The previous prime is 6509967928319. The next prime is 6509967928327. The reversal of 6509967928320 is 238297699056.

It is not an unprimeable number, because it can be changed into a prime (6509967928327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37714852 + ... + 37887068.

Almost surely, 2^{6509967928320} is an apocalyptic number.

6509967928320 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 6509967928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10965100771584).

6509967928320 is an abundant number, since it is smaller than the sum of its proper divisors (15420233614848).

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

6509967928320 is a wasteful number, since it uses less digits than its factorization.

6509967928320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172375 (or 172357 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 66.

The spelling of 6509967928320 in words is "six trillion, five hundred nine billion, nine hundred sixty-seven million, nine hundred twenty-eight thousand, three hundred twenty".