791649331200 has 3456 divisors, whose sum is σ = 3890001024000. Its totient is φ = 156067430400.

The previous prime is 791649331181. The next prime is 791649331237. The reversal of 791649331200 is 2133946197.

791649331200 is a `hidden beast` number, since 79 + 1 + 6 + 49 + 331 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25537075185 + ... + 25537075215.

It is an arithmetic number, because the mean of its divisors is an integer number (1125579000).

Almost surely, 2^791649331200 is an apocalyptic number.

791649331200 is a gapful number since it is divisible by the number (70) 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 791649331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945000512000).

791649331200 is an abundant number, since it is smaller than the sum of its proper divisors (3098351692800).

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

791649331200 is a wasteful number, since it uses less digits than its factorization.

791649331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 791649331200 in words is "seven hundred ninety-one billion, six hundred forty-nine million, three hundred thirty-one thousand, two hundred".