2768437188066 has 16 divisors (see below), whose sum is σ = 6040226592288. Its totient is φ = 838920360000.

The previous prime is 2768437188043. The next prime is 2768437188079. The reversal of 2768437188066 is 6608817348672.

It is a Harshad number since it is a multiple of its sum of digits (66), and also a Moran number because the ratio is a prime number: 41946018001 = 2768437188066 / (2 + 7 + 6 + 8 + 4 + 3 + 7 + 1 + 8 + 8 + 0 + 6 + 6).

It is a junction number, because it is equal to n+sod(n) for n = 2768437187988 and 2768437188006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20973008935 + ... + 20973009066.

It is an arithmetic number, because the mean of its divisors is an integer number (377514162018).

Almost surely, 2^{2768437188066} is an apocalyptic number.

2768437188066 is an abundant number, since it is smaller than the sum of its proper divisors (3271789404222).

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

2768437188066 is a wasteful number, since it uses less digits than its factorization.

2768437188066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41946018017.

The product of its (nonzero) digits is 130056192, while the sum is 66.

The spelling of 2768437188066 in words is "two trillion, seven hundred sixty-eight billion, four hundred thirty-seven million, one hundred eighty-eight thousand, sixty-six".