6507266048640 has 768 divisors, whose sum is σ = 26325708963840. Its totient is φ = 1450242662400.

The previous prime is 6507266048609. The next prime is 6507266048641. The reversal of 6507266048640 is 468406627056.

6507266048640 is a `hidden beast` number, since 6 + 5 + 0 + 7 + 26 + 604 + 8 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×6507266048640² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6507266048641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 513549505 + ... + 513562175.

It is an arithmetic number, because the mean of its divisors is an integer number (34278266880).

Almost surely, 2^{6507266048640} is an apocalyptic number.

6507266048640 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 6507266048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13162854481920).

6507266048640 is an abundant number, since it is smaller than the sum of its proper divisors (19818442915200).

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

6507266048640 is a wasteful number, since it uses less digits than its factorization.

6507266048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13021 (or 13006 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 6507266048640 in words is "six trillion, five hundred seven billion, two hundred sixty-six million, forty-eight thousand, six hundred forty".