1678092768 has 192 divisors, whose sum is σ = 5621011200. Its totient is φ = 481697280.

The previous prime is 1678092761. The next prime is 1678092769. The reversal of 1678092768 is 8672908761.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1678092761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175930 + ... + 185222.

It is an arithmetic number, because the mean of its divisors is an integer number (29276100).

Almost surely, 2^1678092768 is an apocalyptic number.

1678092768 is a gapful number since it is divisible by the number (18) 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 1678092768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810505600).

1678092768 is an abundant number, since it is smaller than the sum of its proper divisors (3942918432).

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

1678092768 is a wasteful number, since it uses less digits than its factorization.

1678092768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9342 (or 9328 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 1678092768 is about 40964.5306088084. The cubic root of 1678092768 is about 1188.3343615532.

The spelling of 1678092768 in words is "one billion, six hundred seventy-eight million, ninety-two thousand, seven hundred sixty-eight".