2673440112768 has 256 divisors, whose sum is σ = 7566062878080. Its totient is φ = 833495040000.

The previous prime is 2673440112767. The next prime is 2673440112779. The reversal of 2673440112768 is 8672110443762.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 2673440112768.

It is not an unprimeable number, because it can be changed into a prime (2673440112767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1406332618 + ... + 1406334518.

Almost surely, 2^{2673440112768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2673440112768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783031439040).

2673440112768 is an abundant number, since it is smaller than the sum of its proper divisors (4892622765312).

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

2673440112768 is a wasteful number, since it uses less digits than its factorization.

2673440112768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3167 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 2673440112768 in words is "two trillion, six hundred seventy-three billion, four hundred forty million, one hundred twelve thousand, seven hundred sixty-eight".