793265840640 has 1600 divisors, whose sum is σ = 3531582464256. Its totient is φ = 166402916352.

The previous prime is 793265840597. The next prime is 793265840651. The reversal of 793265840640 is 46048562397.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4585351594 + ... + 4585351766.

Almost surely, 2^793265840640 is an apocalyptic number.

793265840640 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 793265840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765791232128).

793265840640 is an abundant number, since it is smaller than the sum of its proper divisors (2738316623616).

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

793265840640 is an frugal number, since it uses more digits than its factorization.

793265840640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 793265840640 in words is "seven hundred ninety-three billion, two hundred sixty-five million, eight hundred forty thousand, six hundred forty".