675371013408 has 288 divisors, whose sum is σ = 2365748042112. Its totient is φ = 177972940800.

The previous prime is 675371013403. The next prime is 675371013433. The reversal of 675371013408 is 804310173576.

675371013408 is a `hidden beast` number, since 6 + 7 + 537 + 101 + 3 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×675371013408² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (675371013403) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 33824548 + ... + 33844508.

It is an arithmetic number, because the mean of its divisors is an integer number (8214402924).

Almost surely, 2^675371013408 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 675371013408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182874021056).

675371013408 is an abundant number, since it is smaller than the sum of its proper divisors (1690377028704).

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

675371013408 is a wasteful number, since it uses less digits than its factorization.

675371013408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21288 (or 21277 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 675371013408 in words is "six hundred seventy-five billion, three hundred seventy-one million, thirteen thousand, four hundred eight".