671616000000 has 1176 divisors, whose sum is σ = 2695480966152. Its totient is φ = 159744000000.

The previous prime is 671615999987. The next prime is 671616000007. The reversal of 671616000000 is 616176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671616000007) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 12671999974 + ... + 12672000026.

Almost surely, 2^671616000000 is an apocalyptic number.

671616000000 is a gapful number since it is divisible by the number (60) 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 671616000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347740483076).

671616000000 is an abundant number, since it is smaller than the sum of its proper divisors (2023864966152).

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

671616000000 is an frugal number, since it uses more digits than its factorization.

671616000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 671616000000 its reverse (616176), we get a palindrome (671616616176).

The spelling of 671616000000 in words is "six hundred seventy-one billion, six hundred sixteen million", and thus it is an aban number.