264032324400 has 480 divisors, whose sum is σ = 969462950400. Its totient is φ = 60849930240.

The previous prime is 264032324377. The next prime is 264032324441. The reversal of 264032324400 is 4423230462.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52772299 + ... + 52777301.

It is an arithmetic number, because the mean of its divisors is an integer number (2019714480).

Almost surely, 2^264032324400 is an apocalyptic number.

264032324400 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 264032324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484731475200).

264032324400 is an abundant number, since it is smaller than the sum of its proper divisors (705430626000).

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

264032324400 is a wasteful number, since it uses less digits than its factorization.

264032324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5253 (or 5242 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 264032324400 its reverse (4423230462), we get a palindrome (268455554862).

The spelling of 264032324400 in words is "two hundred sixty-four billion, thirty-two million, three hundred twenty-four thousand, four hundred".