1606776576768 has 144 divisors (see below), whose sum is σ = 5183477712000. Its totient is φ = 486901969920.

The previous prime is 1606776576761. The next prime is 1606776576799. The reversal of 1606776576768 is 8676756776061.

1606776576768 is a `hidden beast` number, since 1 + 606 + 7 + 7 + 6 + 5 + 7 + 6 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 1606776576696 and 1606776576705.

It is not an unprimeable number, because it can be changed into a prime (1606776576761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10490418 + ... + 10642481.

It is an arithmetic number, because the mean of its divisors is an integer number (35996373000).

Almost surely, 2^{1606776576768} is an apocalyptic number.

1606776576768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1606776576768 is an abundant number, since it is smaller than the sum of its proper divisors (3576701135232).

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

1606776576768 is a wasteful number, since it uses less digits than its factorization.

1606776576768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21132935 (or 21132915 counting only the distinct ones).

The product of its (nonzero) digits is 746807040, while the sum is 72.

The spelling of 1606776576768 in words is "one trillion, six hundred six billion, seven hundred seventy-six million, five hundred seventy-six thousand, seven hundred sixty-eight".