334666080000 has 2700 divisors, whose sum is σ = 1585457641152. Its totient is φ = 69672960000.

The previous prime is 334666079963. The next prime is 334666080011. The reversal of 334666080000 is 80666433.

It is a tau number, because it is divible by the number of its divisors (2700).

It is a super-2 number, since 2×334666080000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 10795679985 + ... + 10795680015.

Almost surely, 2^334666080000 is an apocalyptic number.

334666080000 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 334666080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792728820576).

334666080000 is an abundant number, since it is smaller than the sum of its proper divisors (1250791561152).

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

334666080000 is an equidigital number, since it uses as much as digits as its factorization.

334666080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 334666080000 in words is "three hundred thirty-four billion, six hundred sixty-six million, eighty thousand".