1679328000 has 864 divisors, whose sum is σ = 7461417600. Its totient is φ = 361267200.

The previous prime is 1679327981. The next prime is 1679328019. The reversal of 1679328000 is 8239761.

It is an interprime number because it is at equal distance from previous prime (1679327981) and next prime (1679328019).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98783992 + ... + 98784008.

It is an arithmetic number, because the mean of its divisors is an integer number (8635900).

Almost surely, 2^1679328000 is an apocalyptic number.

1679328000 is a gapful number since it is divisible by the number (10) 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 1679328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730708800).

1679328000 is an abundant number, since it is smaller than the sum of its proper divisors (5782089600).

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

1679328000 is an equidigital number, since it uses as much as digits as its factorization.

1679328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1679328000 is about 40979.6046833056. The cubic root of 1679328000 is about 1188.6258648286.

The spelling of 1679328000 in words is "one billion, six hundred seventy-nine million, three hundred twenty-eight thousand".