1671320000 has 280 divisors, whose sum is σ = 4875239424. Its totient is φ = 556416000.

The previous prime is 1671319981. The next prime is 1671320041. The reversal of 1671320000 is 231761.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13159937 + ... + 13160063.

Almost surely, 2^1671320000 is an apocalyptic number.

1671320000 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 1671320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437619712).

1671320000 is an abundant number, since it is smaller than the sum of its proper divisors (3203919424).

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

1671320000 is an equidigital number, since it uses as much as digits as its factorization.

1671320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 1671320000 is about 40881.7807831313. The cubic root of 1671320000 is about 1186.7335035087.

Adding to 1671320000 its reverse (231761), we get a palindrome (1671551761).

The spelling of 1671320000 in words is "one billion, six hundred seventy-one million, three hundred twenty thousand".