791609490000 has 1600 divisors, whose sum is σ = 3421304832000. Its totient is φ = 171383040000.

The previous prime is 791609489971. The next prime is 791609490053. The reversal of 791609490000 is 94906197.

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

It is a congruent number.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 3456809886 + ... + 3456810114.

It is an arithmetic number, because the mean of its divisors is an integer number (2138315520).

Almost surely, 2^791609490000 is an apocalyptic number.

791609490000 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 791609490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710652416000).

791609490000 is an abundant number, since it is smaller than the sum of its proper divisors (2629695342000).

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

791609490000 is a wasteful number, since it uses less digits than its factorization.

791609490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 791609490000 in words is "seven hundred ninety-one billion, six hundred nine million, four hundred ninety thousand".