675814503168 has 720 divisors, whose sum is σ = 2463109608960. Its totient is φ = 179899564032.

The previous prime is 675814503149. The next prime is 675814503193. The reversal of 675814503168 is 861305418576.

It is a happy number.

675814503168 is a `hidden beast` number, since 6 + 7 + 581 + 4 + 50 + 3 + 1 + 6 + 8 = 666.

675814503168 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 254159823 + ... + 254162481.

It is an arithmetic number, because the mean of its divisors is an integer number (3420985568).

Almost surely, 2^675814503168 is an apocalyptic number.

675814503168 is a gapful number since it is divisible by the number (68) 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 675814503168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231554804480).

675814503168 is an abundant number, since it is smaller than the sum of its proper divisors (1787295105792).

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

675814503168 is a wasteful number, since it uses less digits than its factorization.

675814503168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 675814503168 in words is "six hundred seventy-five billion, eight hundred fourteen million, five hundred three thousand, one hundred sixty-eight".