375413168089680 has 480 divisors, whose sum is σ = 1360911789642240. Its totient is φ = 85357215498240.

The previous prime is 375413168089529. The next prime is 375413168089699. The reversal of 375413168089680 is 86980861314573.

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 95 ways as a sum of consecutive naturals, for example, 16126676281 + ... + 16126699559.

It is an arithmetic number, because the mean of its divisors is an integer number (2835232895088).

Almost surely, 2^{375413168089680} is an apocalyptic number.

375413168089680 is a gapful number since it is divisible by the number (30) 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 375413168089680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680455894821120).

375413168089680 is an abundant number, since it is smaller than the sum of its proper divisors (985498621552560).

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

375413168089680 is a wasteful number, since it uses less digits than its factorization.

375413168089680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30467 (or 30454 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 69.

The spelling of 375413168089680 in words is "three hundred seventy-five trillion, four hundred thirteen billion, one hundred sixty-eight million, eighty-nine thousand, six hundred eighty".