2667113568000 has 1008 divisors, whose sum is σ = 11385397523136. Its totient is φ = 609588633600.

The previous prime is 2667113567983. The next prime is 2667113568011. The reversal of 2667113568000 is 8653117662.

2667113568000 is a `hidden beast` number, since 2 + 6 + 6 + 71 + 13 + 568 + 0 + 0 + 0 = 666.

2667113568000 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 (1008).

It is a super-2 number, since 2×2667113568000² (a number of 26 digits) contains 22 as substring.

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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 163287834 + ... + 163304166.

Almost surely, 2^{2667113568000} is an apocalyptic number.

2667113568000 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 2667113568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5692698761568).

2667113568000 is an abundant number, since it is smaller than the sum of its proper divisors (8718283955136).

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

2667113568000 is an frugal number, since it uses more digits than its factorization.

2667113568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16389 (or 16350 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 2667113568000 in words is "two trillion, six hundred sixty-seven billion, one hundred thirteen million, five hundred sixty-eight thousand".