264400513632 has 240 divisors, whose sum is σ = 788585323680. Its totient is φ = 86893627392.

The previous prime is 264400513591. The next prime is 264400513651. The reversal of 264400513632 is 236315004462.

264400513632 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 0 + 0 + 5 + 13 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 91581693 + ... + 91584579.

It is an arithmetic number, because the mean of its divisors is an integer number (3285772182).

Almost surely, 2^264400513632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264400513632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394292661840).

264400513632 is an abundant number, since it is smaller than the sum of its proper divisors (524184810048).

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

264400513632 is a wasteful number, since it uses less digits than its factorization.

264400513632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 264400513632 in words is "two hundred sixty-four billion, four hundred million, five hundred thirteen thousand, six hundred thirty-two".