675639936576 has 168 divisors, whose sum is σ = 2121076365408. Its totient is φ = 203923200000.

The previous prime is 675639936571. The next prime is 675639936583.

675639936576 is a `hidden beast` number, since 6 + 7 + 563 + 9 + 9 + 3 + 6 + 57 + 6 = 666.

675639936576 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (675639936571) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1377916 + ... + 1802756.

It is an arithmetic number, because the mean of its divisors is an integer number (12625454556).

Almost surely, 2^675639936576 is an apocalyptic number.

675639936576 is a gapful number since it is divisible by the number (66) 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 675639936576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060538182704).

675639936576 is an abundant number, since it is smaller than the sum of its proper divisors (1445436428832).

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

675639936576 is a wasteful number, since it uses less digits than its factorization.

675639936576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425121 (or 425108 counting only the distinct ones).

The product of its digits is 1157360400, while the sum is 72.

The spelling of 675639936576 in words is "six hundred seventy-five billion, six hundred thirty-nine million, nine hundred thirty-six thousand, five hundred seventy-six".