675259468627968 has 2400 divisors, whose sum is σ = 2468457119744000. Its totient is φ = 179869943070720.

The previous prime is 675259468627951. The next prime is 675259468627981. The reversal of 675259468627968 is 869726864952576.

675259468627968 is a `hidden beast` number, since 6 + 7 + 5 + 2 + 59 + 468 + 6 + 2 + 7 + 96 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1353225387783 + ... + 1353225388281.

Almost surely, 2^{675259468627968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675259468627968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234228559872000).

675259468627968 is an abundant number, since it is smaller than the sum of its proper divisors (1793197651116032).

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

675259468627968 is a wasteful number, since it uses less digits than its factorization.

675259468627968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 706 counting only the distinct ones).

The product of its digits is 131681894400, while the sum is 90.

The spelling of 675259468627968 in words is "six hundred seventy-five trillion, two hundred fifty-nine billion, four hundred sixty-eight million, six hundred twenty-seven thousand, nine hundred sixty-eight".