264747279888 has 1080 divisors, whose sum is σ = 980637503040. Its totient is φ = 66396395520.

The previous prime is 264747279887. The next prime is 264747279949. The reversal of 264747279888 is 888972747462.

It is a happy number.

264747279888 is a `hidden beast` number, since 2 + 6 + 4 + 7 + 472 + 79 + 8 + 88 = 666.

It is a super-2 number, since 2×264747279888² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (264747279887) 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 215 ways as a sum of consecutive naturals, for example, 3728834893 + ... + 3728834963.

It is an arithmetic number, because the mean of its divisors is an integer number (907997688).

Almost surely, 2^264747279888 is an apocalyptic number.

264747279888 is a gapful number since it is divisible by the number (28) 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 264747279888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490318751520).

264747279888 is an abundant number, since it is smaller than the sum of its proper divisors (715890223152).

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

264747279888 is a wasteful number, since it uses less digits than its factorization.

264747279888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 208 counting only the distinct ones).

The product of its digits is 606928896, while the sum is 72.

The spelling of 264747279888 in words is "two hundred sixty-four billion, seven hundred forty-seven million, two hundred seventy-nine thousand, eight hundred eighty-eight".