264237121600 has 189 divisors, whose sum is σ = 663138669783. Its totient is φ = 103630464000.

The previous prime is 264237121573. The next prime is 264237121667. The reversal of 264237121600 is 6121732462.

The square root of 264237121600 is 514040.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 141815509056 + 122421612544 = 376584^2 + 349888^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1459873510 + ... + 1459873690.

Almost surely, 2^264237121600 is an apocalyptic number.

264237121600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

264237121600 is the 514040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264237121600

264237121600 is an abundant number, since it is smaller than the sum of its proper divisors (398901548183).

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

264237121600 is an frugal number, since it uses more digits than its factorization.

264237121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 264237121600 in words is "two hundred sixty-four billion, two hundred thirty-seven million, one hundred twenty-one thousand, six hundred".