264129564900 has 36 divisors (see below), whose sum is σ = 764214875312. Its totient is φ = 70434550560.

The previous prime is 264129564889. The next prime is 264129564901. The reversal of 264129564900 is 9465921462.

It is a super-3 number, since 3×264129564900³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 264129564900.

It is not an unprimeable number, because it can be changed into a prime (264129564901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 440215642 + ... + 440216241.

Almost surely, 2^264129564900 is an apocalyptic number.

264129564900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264129564900 is an abundant number, since it is smaller than the sum of its proper divisors (500085310412).

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

264129564900 is a wasteful number, since it uses less digits than its factorization.

264129564900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880431900 (or 880431893 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 264129564900 in words is "two hundred sixty-four billion, one hundred twenty-nine million, five hundred sixty-four thousand, nine hundred".