2769685045776 has 540 divisors, whose sum is σ = 8852183580240. Its totient is φ = 807760800000.

The previous prime is 2769685045753. The next prime is 2769685045823. The reversal of 2769685045776 is 6775405869672.

2769685045776 is a `hidden beast` number, since 2 + 7 + 6 + 9 + 68 + 504 + 57 + 7 + 6 = 666.

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

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, 4202860135 + ... + 4202860793.

It is an arithmetic number, because the mean of its divisors is an integer number (16392932556).

Almost surely, 2^{2769685045776} 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 2769685045776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4426091790120).

2769685045776 is an abundant number, since it is smaller than the sum of its proper divisors (6082498534464).

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

2769685045776 is a wasteful number, since it uses less digits than its factorization.

2769685045776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 1066867200, while the sum is 72.

The spelling of 2769685045776 in words is "two trillion, seven hundred sixty-nine billion, six hundred eighty-five million, forty-five thousand, seven hundred seventy-six".