791966343168 has 1792 divisors, whose sum is σ = 3258775296000. Its totient is φ = 187280916480.

The previous prime is 791966343131. The next prime is 791966343197. The reversal of 791966343168 is 861343669197.

791966343168 is a `hidden beast` number, since 7 + 9 + 196 + 6 + 3 + 431 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10848853980 + ... + 10848854052.

It is an arithmetic number, because the mean of its divisors is an integer number (1818513000).

Almost surely, 2^791966343168 is an apocalyptic number.

791966343168 is a gapful number since it is divisible by the number (78) 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 791966343168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629387648000).

791966343168 is an abundant number, since it is smaller than the sum of its proper divisors (2466808952832).

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

791966343168 is a wasteful number, since it uses less digits than its factorization.

791966343168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 109 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 791966343168 in words is "seven hundred ninety-one billion, nine hundred sixty-six million, three hundred forty-three thousand, one hundred sixty-eight".