1678814464 has 144 divisors (see below), whose sum is σ = 3796934400. Its totient is φ = 736100352.

The previous prime is 1678814453. The next prime is 1678814477. The reversal of 1678814464 is 4644188761.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6532224 + ... + 6532480.

It is an arithmetic number, because the mean of its divisors is an integer number (26367600).

Almost surely, 2^1678814464 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 1678814464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898467200).

1678814464 is an abundant number, since it is smaller than the sum of its proper divisors (2118119936).

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

1678814464 is a wasteful number, since it uses less digits than its factorization.

1678814464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 374 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 49.

The square root of 1678814464 is about 40973.3384531942. The cubic root of 1678814464 is about 1188.5046924702.

The spelling of 1678814464 in words is "one billion, six hundred seventy-eight million, eight hundred fourteen thousand, four hundred sixty-four".