1077648097689 has 16 divisors (see below), whose sum is σ = 1680542843200. Its totient is φ = 680619850848.

The previous prime is 1077648097649. The next prime is 1077648097693. The reversal of 1077648097689 is 9867908467701.

1077648097689 is a `hidden beast` number, since 1 + 0 + 7 + 76 + 480 + 9 + 76 + 8 + 9 = 666.

1077648097689 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-1077648097689 is a prime.

It is a super-2 number, since 2×1077648097689² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1077648097619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1050338764 + ... + 1050339789.

It is an arithmetic number, because the mean of its divisors is an integer number (105033927700).

Almost surely, 2^{1077648097689} is an apocalyptic number.

1077648097689 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1077648097689 is a deficient number, since it is larger than the sum of its proper divisors (602894745511).

1077648097689 is a wasteful number, since it uses less digits than its factorization.

1077648097689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100678581 (or 2100678575 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 72.

The spelling of 1077648097689 in words is "one trillion, seventy-seven billion, six hundred forty-eight million, ninety-seven thousand, six hundred eighty-nine".