675681670944000 has 3456 divisors, whose sum is σ = 2989269391180800. Its totient is φ = 151873118208000.

The previous prime is 675681670943989. The next prime is 675681670944011. The reversal of 675681670944000 is 449076186576.

It is a happy number.

675681670944000 is a `hidden beast` number, since 6 + 7 + 5 + 6 + 81 + 67 + 0 + 94 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (675681670943989) and next prime (675681670944011).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×675681670944000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 162697245924 + ... + 162697250076.

Almost surely, 2^{675681670944000} is an apocalyptic number.

675681670944000 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 675681670944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494634695590400).

675681670944000 is an abundant number, since it is smaller than the sum of its proper divisors (2313587720236800).

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

675681670944000 is an frugal number, since it uses more digits than its factorization.

675681670944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281 (or 4231 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 675681670944000 in words is "six hundred seventy-five trillion, six hundred eighty-one billion, six hundred seventy million, nine hundred forty-four thousand".