64395366359346 has 192 divisors, whose sum is σ = 155678690119680. Its totient is φ = 19073964240000.

The previous prime is 64395366359297. The next prime is 64395366359377.

64395366359346 is a `hidden beast` number, since 6 + 4 + 3 + 9 + 536 + 6 + 3 + 59 + 34 + 6 = 666.

64395366359346 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2421684511 + ... + 2421711101.

It is an arithmetic number, because the mean of its divisors is an integer number (810826511040).

Almost surely, 2^{64395366359346} is an apocalyptic number.

64395366359346 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 64395366359346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77839345059840).

64395366359346 is an abundant number, since it is smaller than the sum of its proper divisors (91283323760334).

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

64395366359346 is a wasteful number, since it uses less digits than its factorization.

64395366359346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28253 (or 28250 counting only the distinct ones).

The product of its digits is 3401222400, while the sum is 72.

The spelling of 64395366359346 in words is "sixty-four trillion, three hundred ninety-five billion, three hundred sixty-six million, three hundred fifty-nine thousand, three hundred forty-six".