791068654080 has 1920 divisors, whose sum is σ = 3294509137920. Its totient is φ = 180592312320.

The previous prime is 791068654031. The next prime is 791068654081. The reversal of 791068654080 is 80456860197.

791068654080 is a `hidden beast` number, since 7 + 9 + 10 + 6 + 8 + 6 + 540 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (791068654081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6228886977 + ... + 6228887103.

It is an arithmetic number, because the mean of its divisors is an integer number (1715890176).

Almost surely, 2^791068654080 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 791068654080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647254568960).

791068654080 is an abundant number, since it is smaller than the sum of its proper divisors (2503440483840).

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

791068654080 is a wasteful number, since it uses less digits than its factorization.

791068654080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 791068654080 in words is "seven hundred ninety-one billion, sixty-eight million, six hundred fifty-four thousand, eighty".