671872071600 has 480 divisors, whose sum is σ = 2523459916800. Its totient is φ = 169444915200.

The previous prime is 671872071599. The next prime is 671872071631. The reversal of 671872071600 is 6170278176.

671872071600 is a `hidden beast` number, since 6 + 7 + 18 + 7 + 20 + 7 + 1 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22092405 + ... + 22122795.

It is an arithmetic number, because the mean of its divisors is an integer number (5257208160).

Almost surely, 2^671872071600 is an apocalyptic number.

671872071600 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 671872071600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261729958400).

671872071600 is an abundant number, since it is smaller than the sum of its proper divisors (1851587845200).

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

671872071600 is a wasteful number, since it uses less digits than its factorization.

671872071600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30530 (or 30513 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 671872071600 in words is "six hundred seventy-one billion, eight hundred seventy-two million, seventy-one thousand, six hundred".