75488196168 has 288 divisors, whose sum is σ = 263852316000. Its totient is φ = 19274411520.

The previous prime is 75488196149. The next prime is 75488196169. The reversal of 75488196168 is 86169188457.

75488196168 is a `hidden beast` number, since 7 + 5 + 4 + 8 + 8 + 1 + 9 + 616 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (75488196169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2273188 + ... + 2306156.

It is an arithmetic number, because the mean of its divisors is an integer number (916153875).

Almost surely, 2^75488196168 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 75488196168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131926158000).

75488196168 is an abundant number, since it is smaller than the sum of its proper divisors (188364119832).

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

75488196168 is a wasteful number, since it uses less digits than its factorization.

75488196168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33065 (or 33051 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 63.

The spelling of 75488196168 in words is "seventy-five billion, four hundred eighty-eight million, one hundred ninety-six thousand, one hundred sixty-eight".