2765822845968 has 640 divisors, whose sum is σ = 10732513075200. Its totient is φ = 661005785088.

The previous prime is 2765822845901. The next prime is 2765822845979. The reversal of 2765822845968 is 8695482285672.

2765822845968 is a `hidden beast` number, since 2 + 7 + 6 + 5 + 8 + 2 + 28 + 4 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2765822845896 and 2765822845905.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17098846 + ... + 17259842.

It is an arithmetic number, because the mean of its divisors is an integer number (16769551680).

Almost surely, 2^{2765822845968} is an apocalyptic number.

2765822845968 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 2765822845968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5366256537600).

2765822845968 is an abundant number, since it is smaller than the sum of its proper divisors (7966690229232).

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

2765822845968 is a wasteful number, since it uses less digits than its factorization.

2765822845968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161076 (or 161064 counting only the distinct ones).

The product of its digits is 928972800, while the sum is 72.

The spelling of 2765822845968 in words is "two trillion, seven hundred sixty-five billion, eight hundred twenty-two million, eight hundred forty-five thousand, nine hundred sixty-eight".