264529670400 has 540 divisors, whose sum is σ = 1000917260112. Its totient is φ = 68894945280.

The previous prime is 264529670393. The next prime is 264529670401. The reversal of 264529670400 is 4076925462.

264529670400 is a `hidden beast` number, since 2 + 6 + 452 + 96 + 70 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is not an unprimeable number, because it can be changed into a prime (264529670401) 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 59 ways as a sum of consecutive naturals, for example, 22285267 + ... + 22297133.

Almost surely, 2^264529670400 is an apocalyptic number.

264529670400 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 264529670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500458630056).

264529670400 is an abundant number, since it is smaller than the sum of its proper divisors (736387589712).

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

264529670400 is a wasteful number, since it uses less digits than its factorization.

264529670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11948 (or 11920 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 264529670400 in words is "two hundred sixty-four billion, five hundred twenty-nine million, six hundred seventy thousand, four hundred".