264113576400 has 60 divisors (see below), whose sum is σ = 846043826912. Its totient is φ = 70430286720.

The previous prime is 264113576383. The next prime is 264113576429. The reversal of 264113576400 is 4675311462.

It is a happy number.

264113576400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110046124 + ... + 110048523.

Almost surely, 2^264113576400 is an apocalyptic number.

264113576400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264113576400 is an abundant number, since it is smaller than the sum of its proper divisors (581930250512).

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

264113576400 is a wasteful number, since it uses less digits than its factorization.

264113576400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220094668 (or 220094657 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

Adding to 264113576400 its reverse (4675311462), we get a palindrome (268788887862).

The spelling of 264113576400 in words is "two hundred sixty-four billion, one hundred thirteen million, five hundred seventy-six thousand, four hundred".