264080980800 has 1008 divisors, whose sum is σ = 1164430804992. Its totient is φ = 55273881600.

The previous prime is 264080980799. The next prime is 264080980817. The reversal of 264080980800 is 8089080462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 179524065 + ... + 179525535.

Almost surely, 2^264080980800 is an apocalyptic number.

264080980800 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 264080980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582215402496).

264080980800 is an abundant number, since it is smaller than the sum of its proper divisors (900349824192).

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

264080980800 is a wasteful number, since it uses less digits than its factorization.

264080980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 264080980800 in words is "two hundred sixty-four billion, eighty million, nine hundred eighty thousand, eight hundred".