64001340606100 has 72 divisors (see below), whose sum is σ = 139860994995288. Its totient is φ = 25420615334400.

The previous prime is 64001340606089. The next prime is 64001340606107. The reversal of 64001340606100 is 160604310046.

It can be written as a sum of positive squares in 12 ways, for example, as 3481373832336 + 60519966773764 = 1865844^2 + 7779458^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64001340606107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11467210 + ... + 16108990.

It is an arithmetic number, because the mean of its divisors is an integer number (1942513819379).

Almost surely, 2^{64001340606100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64001340606100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69930497497644).

64001340606100 is an abundant number, since it is smaller than the sum of its proper divisors (75859654389188).

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

64001340606100 is a wasteful number, since it uses less digits than its factorization.

64001340606100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642765 (or 4642758 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 64001340606100 its reverse (160604310046), we get a palindrome (64161944916146).

The spelling of 64001340606100 in words is "sixty-four trillion, one billion, three hundred forty million, six hundred six thousand, one hundred".