671828434560 has 384 divisors, whose sum is σ = 2460091467600. Its totient is φ = 168360542208.

The previous prime is 671828434531. The next prime is 671828434561. The reversal of 671828434560 is 65434828176.

It is a happy number.

671828434560 is a `hidden beast` number, since 6 + 7 + 18 + 28 + 43 + 4 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 312087587904 + 359740846656 = 558648^2 + 599784^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 671828434497 and 671828434506.

It is not an unprimeable number, because it can be changed into a prime (671828434561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69420442 + ... + 69430118.

Almost surely, 2^671828434560 is an apocalyptic number.

671828434560 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 671828434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230045733800).

671828434560 is an abundant number, since it is smaller than the sum of its proper divisors (1788263033040).

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

671828434560 is a wasteful number, since it uses less digits than its factorization.

671828434560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10428 (or 10413 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 671828434560 in words is "six hundred seventy-one billion, eight hundred twenty-eight million, four hundred thirty-four thousand, five hundred sixty".