264713782080 has 448 divisors, whose sum is σ = 966905579520. Its totient is φ = 60683673600.

The previous prime is 264713782037. The next prime is 264713782093. The reversal of 264713782080 is 80287317462.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 164724637 + ... + 164726243.

Almost surely, 2^264713782080 is an apocalyptic number.

264713782080 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 264713782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483452789760).

264713782080 is an abundant number, since it is smaller than the sum of its proper divisors (702191797440).

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

264713782080 is a wasteful number, since it uses less digits than its factorization.

264713782080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 264713782080 in words is "two hundred sixty-four billion, seven hundred thirteen million, seven hundred eighty-two thousand, eighty".