64353635346 has 192 divisors, whose sum is σ = 180128390400. Its totient is φ = 14896949760.

The previous prime is 64353635327. The next prime is 64353635363.

It is a happy number.

64353635346 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 64353635295 and 64353635304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1899120 + ... + 1932708.

It is an arithmetic number, because the mean of its divisors is an integer number (938168700).

Almost surely, 2^64353635346 is an apocalyptic number.

64353635346 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 64353635346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90064195200).

64353635346 is an abundant number, since it is smaller than the sum of its proper divisors (115774755054).

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

64353635346 is a wasteful number, since it uses less digits than its factorization.

64353635346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33665 (or 33654 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 48.

The spelling of 64353635346 in words is "sixty-four billion, three hundred fifty-three million, six hundred thirty-five thousand, three hundred forty-six".