75218341968 has 480 divisors, whose sum is σ = 275582361600. Its totient is φ = 18581529600.

The previous prime is 75218341951. The next prime is 75218341973. The reversal of 75218341968 is 86914381257.

75218341968 is a `hidden beast` number, since 7 + 5 + 218 + 3 + 419 + 6 + 8 = 666.

It is a super-2 number, since 2×75218341968² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20278098 + ... + 20281806.

It is an arithmetic number, because the mean of its divisors is an integer number (574129920).

Almost surely, 2^75218341968 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 75218341968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137791180800).

75218341968 is an abundant number, since it is smaller than the sum of its proper divisors (200364019632).

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

75218341968 is a wasteful number, since it uses less digits than its factorization.

75218341968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3831 (or 3822 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 75218341968 in words is "seventy-five billion, two hundred eighteen million, three hundred forty-one thousand, nine hundred sixty-eight".