671853930029568 has 960 divisors, whose sum is σ = 2501339654765952. Its totient is φ = 176876314951680.

The previous prime is 671853930029567. The next prime is 671853930029593. The reversal of 671853930029568 is 865920039358176.

671853930029568 is a `hidden beast` number, since 6 + 7 + 1 + 8 + 5 + 3 + 9 + 30 + 0 + 29 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 671853930029496 and 671853930029505.

It is not an unprimeable number, because it can be changed into a prime (671853930029567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 301344630 + ... + 303565962.

Almost surely, 2^{671853930029568} is an apocalyptic number.

671853930029568 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 671853930029568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250669827382976).

671853930029568 is an abundant number, since it is smaller than the sum of its proper divisors (1829485724736384).

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

671853930029568 is a wasteful number, since it uses less digits than its factorization.

671853930029568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221407 (or 2221379 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 671853930029568 in words is "six hundred seventy-one trillion, eight hundred fifty-three billion, nine hundred thirty million, twenty-nine thousand, five hundred sixty-eight".