350818420680 has 1024 divisors, whose sum is σ = 1507838976000. Its totient is φ = 70557806592.

The previous prime is 350818420661. The next prime is 350818420681. The reversal of 350818420680 is 86024818053.

350818420680 is a `hidden beast` number, since 3 + 508 + 1 + 84 + 2 + 0 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (350818420681) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 236559219 + ... + 236560701.

It is an arithmetic number, because the mean of its divisors is an integer number (1472499000).

Almost surely, 2^350818420680 is an apocalyptic number.

350818420680 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 350818420680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753919488000).

350818420680 is an abundant number, since it is smaller than the sum of its proper divisors (1157020555320).

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

350818420680 is a wasteful number, since it uses less digits than its factorization.

350818420680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 350818420680 in words is "three hundred fifty billion, eight hundred eighteen million, four hundred twenty thousand, six hundred eighty".