671699716800 has 1344 divisors, whose sum is σ = 2766729584640. Its totient is φ = 139345920000.

The previous prime is 671699716777. The next prime is 671699716801. The reversal of 671699716800 is 8617996176.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×671699716800³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (671699716801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1117636500 + ... + 1117637100.

It is an arithmetic number, because the mean of its divisors is an integer number (2058578560).

Almost surely, 2^671699716800 is an apocalyptic number.

671699716800 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 671699716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383364792320).

671699716800 is an abundant number, since it is smaller than the sum of its proper divisors (2095029867840).

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

671699716800 is a wasteful number, since it uses less digits than its factorization.

671699716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 60.

The spelling of 671699716800 in words is "six hundred seventy-one billion, six hundred ninety-nine million, seven hundred sixteen thousand, eight hundred".