2756673216000 has 2560 divisors, whose sum is σ = 12409562880000. Its totient is φ = 594542592000.

The previous prime is 2756673215971. The next prime is 2756673216001. The reversal of 2756673216000 is 6123766572.

2756673216000 is a `hidden beast` number, since 2 + 7 + 5 + 6 + 6 + 7 + 32 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2756673216001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6139583776 + ... + 6139584224.

It is an arithmetic number, because the mean of its divisors is an integer number (4847485500).

Almost surely, 2^{2756673216000} is an apocalyptic number.

2756673216000 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 2756673216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6204781440000).

2756673216000 is an abundant number, since it is smaller than the sum of its proper divisors (9652889664000).

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

2756673216000 is a wasteful number, since it uses less digits than its factorization.

2756673216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 2756673216000 in words is "two trillion, seven hundred fifty-six billion, six hundred seventy-three million, two hundred sixteen thousand".