1673616000 has 512 divisors, whose sum is σ = 6736504320. Its totient is φ = 358809600.

The previous prime is 1673615987. The next prime is 1673616019. The reversal of 1673616000 is 6163761.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5711854 + ... + 5712146.

It is an arithmetic number, because the mean of its divisors is an integer number (13157235).

Almost surely, 2^1673616000 is an apocalyptic number.

1673616000 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 1673616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368252160).

1673616000 is an abundant number, since it is smaller than the sum of its proper divisors (5062888320).

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

1673616000 is a wasteful number, since it uses less digits than its factorization.

1673616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 1673616000 is about 40909.8521141302. The cubic root of 1673616000 is about 1187.2766856159.

Adding to 1673616000 its reverse (6163761), we get a palindrome (1679779761).

The spelling of 1673616000 in words is "one billion, six hundred seventy-three million, six hundred sixteen thousand".