2667673344000 has 1536 divisors, whose sum is σ = 10685567692800. Its totient is φ = 578027520000.

The previous prime is 2667673343999. The next prime is 2667673344001. The reversal of 2667673344000 is 4433767662.

It is an interprime number because it is at equal distance from previous prime (2667673343999) and next prime (2667673344001).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2667673344001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11069183880 + ... + 11069184120.

It is an arithmetic number, because the mean of its divisors is an integer number (6956749800).

Almost surely, 2^{2667673344000} is an apocalyptic number.

2667673344000 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 2667673344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5342783846400).

2667673344000 is an abundant number, since it is smaller than the sum of its proper divisors (8017894348800).

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

2667673344000 is a wasteful number, since it uses less digits than its factorization.

2667673344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 48.

The spelling of 2667673344000 in words is "two trillion, six hundred sixty-seven billion, six hundred seventy-three million, three hundred forty-four thousand".