2756056762368 has 1152 divisors, whose sum is σ = 10697833036800. Its totient is φ = 688400695296.

The previous prime is 2756056762343. The next prime is 2756056762369. The reversal of 2756056762368 is 8632676506572.

2756056762368 is a `hidden beast` number, since 2 + 7 + 5 + 6 + 0 + 567 + 6 + 2 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2756056762369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 860459455 + ... + 860462657.

It is an arithmetic number, because the mean of its divisors is an integer number (9286313400).

Almost surely, 2^{2756056762368} is an apocalyptic number.

2756056762368 is a gapful number since it is divisible by the number (28) 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 2756056762368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348916518400).

2756056762368 is an abundant number, since it is smaller than the sum of its proper divisors (7941776274432).

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

2756056762368 is a wasteful number, since it uses less digits than its factorization.

2756056762368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 2756056762368 in words is "two trillion, seven hundred fifty-six billion, fifty-six million, seven hundred sixty-two thousand, three hundred sixty-eight".