2676733660032 has 128 divisors (see below), whose sum is σ = 7228269135360. Its totient is φ = 877482749952.

The previous prime is 2676733659997. The next prime is 2676733660061. The reversal of 2676733660032 is 2300663376762.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9589513 + ... + 9864695.

It is an arithmetic number, because the mean of its divisors is an integer number (56470852620).

Almost surely, 2^{2676733660032} 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 2676733660032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3614134567680).

2676733660032 is an abundant number, since it is smaller than the sum of its proper divisors (4551535475328).

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

2676733660032 is a wasteful number, since it uses less digits than its factorization.

2676733660032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275620 (or 275608 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 51.

The spelling of 2676733660032 in words is "two trillion, six hundred seventy-six billion, seven hundred thirty-three million, six hundred sixty thousand, thirty-two".