2769628992768 has 972 divisors, whose sum is σ = 9366008215200. Its totient is φ = 815643924480.

The previous prime is 2769628992731. The next prime is 2769628992799. The reversal of 2769628992768 is 8672998269672.

2769628992768 is a `hidden beast` number, since 2 + 7 + 69 + 6 + 289 + 9 + 276 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13917733533 + ... + 13917733731.

Almost surely, 2^{2769628992768} 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 2769628992768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4683004107600).

2769628992768 is an abundant number, since it is smaller than the sum of its proper divisors (6596379222432).

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

2769628992768 is an equidigital number, since it uses as much as digits as its factorization.

2769628992768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 258 counting only the distinct ones).

The product of its digits is 3950456832, while the sum is 81.

The spelling of 2769628992768 in words is "two trillion, seven hundred sixty-nine billion, six hundred twenty-eight million, nine hundred ninety-two thousand, seven hundred sixty-eight".