264633108480 has 1536 divisors, whose sum is σ = 1105579238400. Its totient is φ = 59454259200.

The previous prime is 264633108469. The next prime is 264633108503. The reversal of 264633108480 is 84801336462.

264633108480 is a `hidden beast` number, since 2 + 6 + 4 + 63 + 3 + 108 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 3727226845 + ... + 3727226915.

It is an arithmetic number, because the mean of its divisors is an integer number (719778150).

Almost surely, 2^264633108480 is an apocalyptic number.

264633108480 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 264633108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552789619200).

264633108480 is an abundant number, since it is smaller than the sum of its proper divisors (840946129920).

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

264633108480 is a wasteful number, since it uses less digits than its factorization.

264633108480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 264633108480 in words is "two hundred sixty-four billion, six hundred thirty-three million, one hundred eight thousand, four hundred eighty".