264908508480 has 1792 divisors, whose sum is σ = 1257746227200. Its totient is φ = 50801541120.

The previous prime is 264908508457. The next prime is 264908508481. The reversal of 264908508480 is 84805809462.

264908508480 is a `hidden beast` number, since 2 + 6 + 4 + 90 + 8 + 508 + 48 + 0 = 666.

264908508480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264908508481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 667275642 + ... + 667276038.

Almost surely, 2^264908508480 is an apocalyptic number.

264908508480 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 264908508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628873113600).

264908508480 is an abundant number, since it is smaller than the sum of its proper divisors (992837718720).

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

264908508480 is a wasteful number, since it uses less digits than its factorization.

264908508480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 264908508480 in words is "two hundred sixty-four billion, nine hundred eight million, five hundred eight thousand, four hundred eighty".