791969961758976 has 1440 divisors, whose sum is σ = 3184687042403328. Its totient is φ = 189045294612480.

The previous prime is 791969961758939. The next prime is 791969961758977. The reversal of 791969961758976 is 679857169969197.

791969961758976 is a `hidden beast` number, since 7 + 9 + 1 + 9 + 6 + 9 + 9 + 6 + 1 + 7 + 589 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (99).

It is not an unprimeable number, because it can be changed into a prime (791969961758977) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4711695031 + ... + 4711863113.

Almost surely, 2^{791969961758976} 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 791969961758976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592343521201664).

791969961758976 is an abundant number, since it is smaller than the sum of its proper divisors (2392717080644352).

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

791969961758976 is a wasteful number, since it uses less digits than its factorization.

791969961758976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168369 (or 168346 counting only the distinct ones).

The product of its digits is 174992892480, while the sum is 99.

The spelling of 791969961758976 in words is "seven hundred ninety-one trillion, nine hundred sixty-nine billion, nine hundred sixty-one million, seven hundred fifty-eight thousand, nine hundred seventy-six".