350647568640 has 216 divisors, whose sum is σ = 1217724875640. Its totient is φ = 93157588992.

The previous prime is 350647568549. The next prime is 350647568641. The reversal of 350647568640 is 46865746053.

350647568640 is a `hidden beast` number, since 3 + 50 + 6 + 475 + 6 + 86 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1621833984 + 349025734656 = 40272^2 + 590784^2 .

It is a super-2 number, since 2×350647568640² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (350647568641) 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 23 ways as a sum of consecutive naturals, for example, 3042304 + ... + 3155456.

It is an arithmetic number, because the mean of its divisors is an integer number (5637615165).

Almost surely, 2^350647568640 is an apocalyptic number.

350647568640 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 350647568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608862437820).

350647568640 is an abundant number, since it is smaller than the sum of its proper divisors (867077307000).

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

350647568640 is a wasteful number, since it uses less digits than its factorization.

350647568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113449 (or 113432 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 350647568640 in words is "three hundred fifty billion, six hundred forty-seven million, five hundred sixty-eight thousand, six hundred forty".