64350005346 has 72 divisors (see below), whose sum is σ = 153414218412. Its totient is φ = 19479398400.

The previous prime is 64350005311. The next prime is 64350005371.

64350005346 is a `hidden beast` number, since 64 + 3 + 500 + 0 + 53 + 46 = 666.

64350005346 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 64014566121 + 335439225 = 253011^2 + 18315^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 64350005346.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2112786 + ... + 2143026.

Almost surely, 2^64350005346 is an apocalyptic number.

64350005346 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64350005346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76707109206).

64350005346 is an abundant number, since it is smaller than the sum of its proper divisors (89064213066).

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

64350005346 is a wasteful number, since it uses less digits than its factorization.

64350005346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31248 (or 31234 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 64350005346 in words is "sixty-four billion, three hundred fifty million, five thousand, three hundred forty-six".