788940009819360 has 384 divisors, whose sum is σ = 3156259896437760. Its totient is φ = 180300581849088.

The previous prime is 788940009819343. The next prime is 788940009819397. The reversal of 788940009819360 is 63918900049887.

788940009819360 is a `hidden beast` number, since 7 + 8 + 89 + 400 + 0 + 9 + 81 + 9 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189144474 + ... + 193270566.

It is an arithmetic number, because the mean of its divisors is an integer number (8219426813640).

Almost surely, 2^{788940009819360} is an apocalyptic number.

788940009819360 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 788940009819360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578129948218880).

788940009819360 is an abundant number, since it is smaller than the sum of its proper divisors (2367319886618400).

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

788940009819360 is a wasteful number, since it uses less digits than its factorization.

788940009819360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132447 (or 4132433 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 788940009819360 in words is "seven hundred eighty-eight trillion, nine hundred forty billion, nine million, eight hundred nineteen thousand, three hundred sixty".