350704225680480 has 2304 divisors, whose sum is σ = 1457122867200000. Its totient is φ = 76696087265280.

The previous prime is 350704225680407. The next prime is 350704225680481. The reversal of 350704225680480 is 84086522407053.

350704225680480 is a `hidden beast` number, since 3 + 5 + 0 + 70 + 4 + 2 + 2 + 568 + 0 + 4 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350704225680481) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 702814079271 + ... + 702814079769.

It is an arithmetic number, because the mean of its divisors is an integer number (632431800000).

Almost surely, 2^{350704225680480} is an apocalyptic number.

350704225680480 is a gapful number since it is divisible by the number (30) 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 350704225680480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728561433600000).

350704225680480 is an abundant number, since it is smaller than the sum of its proper divisors (1106418641519520).

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

350704225680480 is a wasteful number, since it uses less digits than its factorization.

350704225680480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 350704225680480 in words is "three hundred fifty trillion, seven hundred four billion, two hundred twenty-five million, six hundred eighty thousand, four hundred eighty".