264882378640 has 80 divisors (see below), whose sum is σ = 672887575296. Its totient is φ = 96170393600.

The previous prime is 264882378623. The next prime is 264882378641. The reversal of 264882378640 is 46873288462.

It is a happy number.

264882378640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (264882378641) 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 15 ways as a sum of consecutive naturals, for example, 329289 + ... + 798871.

Almost surely, 2^264882378640 is an apocalyptic number.

264882378640 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 264882378640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336443787648).

264882378640 is an abundant number, since it is smaller than the sum of its proper divisors (408005196656).

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

264882378640 is a wasteful number, since it uses less digits than its factorization.

264882378640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470248 (or 470242 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 58.

The spelling of 264882378640 in words is "two hundred sixty-four billion, eight hundred eighty-two million, three hundred seventy-eight thousand, six hundred forty".