264896438400 has 1728 divisors, whose sum is σ = 1135156988160. Its totient is φ = 60466176000.

The previous prime is 264896438393. The next prime is 264896438407. The reversal of 264896438400 is 4834698462.

264896438400 is a `hidden beast` number, since 26 + 489 + 64 + 3 + 84 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (264896438393) and next prime (264896438407).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264896438407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7159363182 + ... + 7159363218.

Almost surely, 2^264896438400 is an apocalyptic number.

264896438400 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 264896438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567578494080).

264896438400 is an abundant number, since it is smaller than the sum of its proper divisors (870260549760).

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

264896438400 is an equidigital number, since it uses as much as digits as its factorization.

264896438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 264896438400 in words is "two hundred sixty-four billion, eight hundred ninety-six million, four hundred thirty-eight thousand, four hundred".