6795958498560 has 1728 divisors, whose sum is σ = 30993580800000. Its totient is φ = 1331961200640.

The previous prime is 6795958498519. The next prime is 6795958498577. The reversal of 6795958498560 is 658948595976.

6795958498560 is a `hidden beast` number, since 6 + 7 + 9 + 5 + 9 + 5 + 8 + 49 + 8 + 560 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6795958498560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4533660691 + ... + 4533662189.

It is an arithmetic number, because the mean of its divisors is an integer number (17936100000).

Almost surely, 2^{6795958498560} is an apocalyptic number.

6795958498560 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 6795958498560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15496790400000).

6795958498560 is an abundant number, since it is smaller than the sum of its proper divisors (24197622301440).

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

6795958498560 is a wasteful number, since it uses less digits than its factorization.

6795958498560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1815 counting only the distinct ones).

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

The spelling of 6795958498560 in words is "six trillion, seven hundred ninety-five billion, nine hundred fifty-eight million, four hundred ninety-eight thousand, five hundred sixty".