264669091600 has 135 divisors (see below), whose sum is σ = 659293326367. Its totient is φ = 102101789440.

The previous prime is 264669091543. The next prime is 264669091601. The reversal of 264669091600 is 6190966462.

The square root of 264669091600 is 514460.

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 3638019856 + 261031071744 = 60316^2 + 510912^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264669091601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 298386357 + ... + 298387243.

Almost surely, 2^264669091600 is an apocalyptic number.

264669091600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

264669091600 is the 514460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264669091600

264669091600 is an abundant number, since it is smaller than the sum of its proper divisors (394624234767).

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

264669091600 is an frugal number, since it uses more digits than its factorization.

264669091600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 49.

Multiplying 264669091600 by its sum of digits (49), we get a square (12968785488400 = 3601220²).

The spelling of 264669091600 in words is "two hundred sixty-four billion, six hundred sixty-nine million, ninety-one thousand, six hundred".