350765564160 has 720 divisors, whose sum is σ = 1308317633280. Its totient is φ = 79814000640.

The previous prime is 350765564159. The next prime is 350765564161. The reversal of 350765564160 is 61465567053.

It is an interprime number because it is at equal distance from previous prime (350765564159) and next prime (350765564161).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (350765564161) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 955764297 + ... + 955764663.

It is an arithmetic number, because the mean of its divisors is an integer number (1817107824).

Almost surely, 2^350765564160 is an apocalyptic number.

350765564160 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 350765564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654158816640).

350765564160 is an abundant number, since it is smaller than the sum of its proper divisors (957552069120).

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

350765564160 is an equidigital number, since it uses as much as digits as its factorization.

350765564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 350765564160 in words is "three hundred fifty billion, seven hundred sixty-five million, five hundred sixty-four thousand, one hundred sixty".