3266764300800 has 5760 divisors, whose sum is σ = 17492180428800. Its totient is φ = 585252864000.

The previous prime is 3266764300799. The next prime is 3266764300831. The reversal of 3266764300800 is 80034676623.

3266764300800 is a `hidden beast` number, since 3 + 266 + 7 + 6 + 4 + 300 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

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 575 ways as a sum of consecutive naturals, for example, 46010764765 + ... + 46010764835.

It is an arithmetic number, because the mean of its divisors is an integer number (3036836880).

Almost surely, 2^{3266764300800} is an apocalyptic number.

3266764300800 is a gapful number since it is divisible by the number (30) 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 3266764300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8746090214400).

3266764300800 is an abundant number, since it is smaller than the sum of its proper divisors (14225416128000).

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

3266764300800 is a wasteful number, since it uses less digits than its factorization.

3266764300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 3266764300800 in words is "three trillion, two hundred sixty-six billion, seven hundred sixty-four million, three hundred thousand, eight hundred".