2755322707968 has 440 divisors, whose sum is σ = 8358789012750. Its totient is φ = 908121341952.

The previous prime is 2755322707931. The next prime is 2755322708059. The reversal of 2755322707968 is 8697072235572.

2755322707968 is a `hidden beast` number, since 2 + 7 + 5 + 532 + 2 + 7 + 0 + 7 + 96 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2616008638464 + 139314069504 = 1617408^2 + 373248^2 .

It is a super-2 number, since 2×2755322707968² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 30958682068 + ... + 30958682156.

Almost surely, 2^{2755322707968} 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 2755322707968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179394506375).

2755322707968 is an abundant number, since it is smaller than the sum of its proper divisors (5603466304782).

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

2755322707968 is an frugal number, since it uses more digits than its factorization.

2755322707968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 2755322707968 in words is "two trillion, seven hundred fifty-five billion, three hundred twenty-two million, seven hundred seven thousand, nine hundred sixty-eight".