264465009900 has 648 divisors, whose sum is σ = 1074342643920. Its totient is φ = 53871713280.

The previous prime is 264465009899. The next prime is 264465009911. The reversal of 264465009900 is 9900564462.

It is a super-2 number, since 2×264465009900² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 16617747 + ... + 16633653.

Almost surely, 2^264465009900 is an apocalyptic number.

264465009900 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 264465009900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537171321960).

264465009900 is an abundant number, since it is smaller than the sum of its proper divisors (809877634020).

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

264465009900 is a wasteful number, since it uses less digits than its factorization.

264465009900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15983 (or 15966 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 264465009900 in words is "two hundred sixty-four billion, four hundred sixty-five million, nine thousand, nine hundred".