6816748961280 has 640 divisors, whose sum is σ = 23133970759680. Its totient is φ = 1707589140480.

The previous prime is 6816748961213. The next prime is 6816748961293. The reversal of 6816748961280 is 821698476186.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×6816748961280² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15816122665 + ... + 15816123095.

It is an arithmetic number, because the mean of its divisors is an integer number (36146829312).

Almost surely, 2^{6816748961280} is an apocalyptic number.

6816748961280 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 6816748961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11566985379840).

6816748961280 is an abundant number, since it is smaller than the sum of its proper divisors (16317221798400).

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

6816748961280 is a wasteful number, since it uses less digits than its factorization.

6816748961280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 66.

The spelling of 6816748961280 in words is "six trillion, eight hundred sixteen billion, seven hundred forty-eight million, nine hundred sixty-one thousand, two hundred eighty".