264340410006300 has 144 divisors (see below), whose sum is σ = 769402601248512. Its totient is φ = 70069939430400.

The previous prime is 264340410006263. The next prime is 264340410006311. The reversal of 264340410006300 is 3600014043462.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36206089 + ... + 42890111.

Almost surely, 2^{264340410006300} is an apocalyptic number.

264340410006300 is a gapful number since it is divisible by the number (20) 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 264340410006300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384701300624256).

264340410006300 is an abundant number, since it is smaller than the sum of its proper divisors (505062191242212).

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

264340410006300 is a wasteful number, since it uses less digits than its factorization.

264340410006300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6684828 (or 6684821 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 264340410006300 its reverse (3600014043462), we get a palindrome (267940424049762).

The spelling of 264340410006300 in words is "two hundred sixty-four trillion, three hundred forty billion, four hundred ten million, six thousand, three hundred".