264346878080 has 64 divisors (see below), whose sum is σ = 632758452480. Its totient is φ = 105604193280.

The previous prime is 264346878079. The next prime is 264346878083. The reversal of 264346878080 is 80878643462.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (264346878083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241265 + ... + 766095.

It is an arithmetic number, because the mean of its divisors is an integer number (9886850820).

Almost surely, 2^264346878080 is an apocalyptic number.

264346878080 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 264346878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316379226240).

264346878080 is an abundant number, since it is smaller than the sum of its proper divisors (368411574400).

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

264346878080 is an equidigital number, since it uses as much as digits as its factorization.

264346878080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525637 (or 525625 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 56.

The spelling of 264346878080 in words is "two hundred sixty-four billion, three hundred forty-six million, eight hundred seventy-eight thousand, eighty".