1769681664 has 108 divisors (see below), whose sum is σ = 5120636976. Its totient is φ = 587790336.

The previous prime is 1769681633. The next prime is 1769681671. The reversal of 1769681664 is 4661869671.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1769681664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 729157 + ... + 731579.

Almost surely, 2^1769681664 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 1769681664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560318488).

1769681664 is an abundant number, since it is smaller than the sum of its proper divisors (3350955312).

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

1769681664 is a wasteful number, since it uses less digits than its factorization.

1769681664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2745 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 1769681664 is about 42067.5844802147. The cubic root of 1769681664 is about 1209.5719780188.

The spelling of 1769681664 in words is "one billion, seven hundred sixty-nine million, six hundred eighty-one thousand, six hundred sixty-four".