1641616000 has 256 divisors, whose sum is σ = 4353523200. Its totient is φ = 614707200.

The previous prime is 1641615967. The next prime is 1641616001. The reversal of 1641616000 is 6161461.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1641616001) 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, 27823971 + ... + 27824029.

It is an arithmetic number, because the mean of its divisors is an integer number (17005950).

Almost surely, 2^1641616000 is an apocalyptic number.

1641616000 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 1641616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176761600).

1641616000 is an abundant number, since it is smaller than the sum of its proper divisors (2711907200).

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

1641616000 is an equidigital number, since it uses as much as digits as its factorization.

1641616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 1641616000 is about 40516.8606878667. The cubic root of 1641616000 is about 1179.6609195216.

Adding to 1641616000 its reverse (6161461), we get a palindrome (1647777461).

The spelling of 1641616000 in words is "one billion, six hundred forty-one million, six hundred sixteen thousand".