794958102282240 has 6720 divisors, whose sum is σ = 3534994805852160. Its totient is φ = 169515983831040.

The previous prime is 794958102282217. The next prime is 794958102282241. The reversal of 794958102282240 is 42282201859497.

794958102282240 is a `hidden beast` number, since 7 + 9 + 4 + 9 + 5 + 8 + 102 + 282 + 240 = 666.

It is not an unprimeable number, because it can be changed into a prime (794958102282241) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 11865046302687 + ... + 11865046302753.

It is an arithmetic number, because the mean of its divisors is an integer number (526040893728).

Almost surely, 2^{794958102282240} 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 794958102282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767497402926080).

794958102282240 is an abundant number, since it is smaller than the sum of its proper divisors (2740036703569920).

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

794958102282240 is a wasteful number, since it uses less digits than its factorization.

794958102282240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 794958102282240 in words is "seven hundred ninety-four trillion, nine hundred fifty-eight billion, one hundred two million, two hundred eighty-two thousand, two hundred forty".