1686053664 has 96 divisors (see below), whose sum is σ = 4998430080. Its totient is φ = 552787200.

The previous prime is 1686053653. The next prime is 1686053669. The reversal of 1686053664 is 4663506861.

1686053664 is a `hidden beast` number, since 1 + 6 + 8 + 605 + 36 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1686053669) 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, 36709 + ... + 68699.

It is an arithmetic number, because the mean of its divisors is an integer number (52066980).

Almost surely, 2^1686053664 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 1686053664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499215040).

1686053664 is an abundant number, since it is smaller than the sum of its proper divisors (3312376416).

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

1686053664 is a wasteful number, since it uses less digits than its factorization.

1686053664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32071 (or 32057 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 1686053664 is about 41061.5837979979. The cubic root of 1686053664 is about 1190.2105561563.

The spelling of 1686053664 in words is "one billion, six hundred eighty-six million, fifty-three thousand, six hundred sixty-four".