671818165200 has 2160 divisors, whose sum is σ = 3258802048320. Its totient is φ = 126247403520.

The previous prime is 671818165171. The next prime is 671818165201. The reversal of 671818165200 is 2561818176.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671818165201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 740703147 + ... + 740704053.

It is an arithmetic number, because the mean of its divisors is an integer number (1508704652).

Almost surely, 2^671818165200 is an apocalyptic number.

671818165200 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 671818165200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629401024160).

671818165200 is an abundant number, since it is smaller than the sum of its proper divisors (2586983883120).

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

671818165200 is a wasteful number, since it uses less digits than its factorization.

671818165200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 671818165200 in words is "six hundred seventy-one billion, eight hundred eighteen million, one hundred sixty-five thousand, two hundred".