1678848864 has 192 divisors, whose sum is σ = 5542774272. Its totient is φ = 435832320.

The previous prime is 1678848863. The next prime is 1678848877. The reversal of 1678848864 is 4688488761.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1678848798 and 1678848807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1678848863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 893494 + ... + 895370.

It is an arithmetic number, because the mean of its divisors is an integer number (28868616).

Almost surely, 2^1678848864 is an apocalyptic number.

1678848864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1678848864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771387136).

1678848864 is an abundant number, since it is smaller than the sum of its proper divisors (3863925408).

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

1678848864 is a wasteful number, since it uses less digits than its factorization.

1678848864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1900 counting only the distinct ones).

The product of its digits is 16515072, while the sum is 60.

The square root of 1678848864 is about 40973.7582362175. The cubic root of 1678848864 is about 1188.5128101594.

The spelling of 1678848864 in words is "one billion, six hundred seventy-eight million, eight hundred forty-eight thousand, eight hundred sixty-four".