1641168000 has 512 divisors, whose sum is σ = 6301152000. Its totient is φ = 419328000.

The previous prime is 1641167999. The next prime is 1641168007. The reversal of 1641168000 is 8611461.

1641168000 is a `hidden beast` number, since 1 + 641 + 16 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1641168007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12527935 + ... + 12528065.

Almost surely, 2^1641168000 is an apocalyptic number.

1641168000 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 1641168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150576000).

1641168000 is an abundant number, since it is smaller than the sum of its proper divisors (4659984000).

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

1641168000 is a wasteful number, since it uses less digits than its factorization.

1641168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1641168000 is about 40511.3317480430. The cubic root of 1641168000 is about 1179.5535992196.

Adding to 1641168000 its reverse (8611461), we get a palindrome (1649779461).

The spelling of 1641168000 in words is "one billion, six hundred forty-one million, one hundred sixty-eight thousand".