671828041248 has 1536 divisors, whose sum is σ = 2548288512000. Its totient is φ = 152946081792.

The previous prime is 671828041237. The next prime is 671828041277. The reversal of 671828041248 is 842140828176.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 671828041248.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5945380840 + ... + 5945380952.

It is an arithmetic number, because the mean of its divisors is an integer number (1659042000).

Almost surely, 2^671828041248 is an apocalyptic number.

671828041248 is a gapful number since it is divisible by the number (68) 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 671828041248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274144256000).

671828041248 is an abundant number, since it is smaller than the sum of its proper divisors (1876460470752).

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

671828041248 is a wasteful number, since it uses less digits than its factorization.

671828041248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 51.

The spelling of 671828041248 in words is "six hundred seventy-one billion, eight hundred twenty-eight million, forty-one thousand, two hundred forty-eight".