1686377664 has 224 divisors, whose sum is σ = 5225978880. Its totient is φ = 532224000.

The previous prime is 1686377659. The next prime is 1686377681. The reversal of 1686377664 is 4667736861.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1686377664.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6001204 + ... + 6001484.

Almost surely, 2^1686377664 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 1686377664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612989440).

1686377664 is an abundant number, since it is smaller than the sum of its proper divisors (3539601216).

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

1686377664 is a wasteful number, since it uses less digits than its factorization.

1686377664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 460 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 1686377664 is about 41065.5289019879. The cubic root of 1686377664 is about 1190.2867900923.

The spelling of 1686377664 in words is "one billion, six hundred eighty-six million, three hundred seventy-seven thousand, six hundred sixty-four".