793463973120 has 2592 divisors, whose sum is σ = 3760590183168. Its totient is φ = 155940028416.

The previous prime is 793463973083. The next prime is 793463973187. The reversal of 793463973120 is 21379364397.

793463973120 is a `hidden beast` number, since 7 + 93 + 46 + 397 + 3 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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 (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8180040912 + ... + 8180041008.

Almost surely, 2^793463973120 is an apocalyptic number.

793463973120 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 793463973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880295091584).

793463973120 is an abundant number, since it is smaller than the sum of its proper divisors (2967126210048).

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

793463973120 is a wasteful number, since it uses less digits than its factorization.

793463973120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 793463973120 in words is "seven hundred ninety-three billion, four hundred sixty-three million, nine hundred seventy-three thousand, one hundred twenty".