671295484800 has 288 divisors, whose sum is σ = 2425665060000. Its totient is φ = 176745553920.

The previous prime is 671295484789. The next prime is 671295484819. The reversal of 671295484800 is 8484592176.

It is a happy number.

671295484800 is a `hidden beast` number, since 6 + 7 + 12 + 9 + 548 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2127676 + ... + 2422724.

It is an arithmetic number, because the mean of its divisors is an integer number (8422448125).

Almost surely, 2^671295484800 is an apocalyptic number.

671295484800 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 671295484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212832530000).

671295484800 is an abundant number, since it is smaller than the sum of its proper divisors (1754369575200).

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

671295484800 is a wasteful number, since it uses less digits than its factorization.

671295484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295158 (or 295138 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 671295484800 in words is "six hundred seventy-one billion, two hundred ninety-five million, four hundred eighty-four thousand, eight hundred".