350263787328 has 560 divisors, whose sum is σ = 1322014404480. Its totient is φ = 89188356096.

The previous prime is 350263787317. The next prime is 350263787353. The reversal of 350263787328 is 823787362053.

350263787328 is a `hidden beast` number, since 3 + 50 + 263 + 7 + 8 + 7 + 328 = 666.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13667775 + ... + 13693377.

It is an arithmetic number, because the mean of its divisors is an integer number (2360740008).

Almost surely, 2^350263787328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350263787328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661007202240).

350263787328 is an abundant number, since it is smaller than the sum of its proper divisors (971750617152).

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

350263787328 is a wasteful number, since it uses less digits than its factorization.

350263787328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25676 (or 25657 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 350263787328 in words is "three hundred fifty billion, two hundred sixty-three million, seven hundred eighty-seven thousand, three hundred twenty-eight".