75663248166 has 96 divisors (see below), whose sum is σ = 186727237632. Its totient is φ = 21918314880.

The previous prime is 75663248159. The next prime is 75663248173. The reversal of 75663248166 is 66184236657.

75663248166 is a `hidden beast` number, since 7 + 566 + 32 + 48 + 1 + 6 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (75663248159) and next prime (75663248173).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9755346 + ... + 9763098.

It is an arithmetic number, because the mean of its divisors is an integer number (1945075392).

Almost surely, 2^75663248166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75663248166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93363618816).

75663248166 is an abundant number, since it is smaller than the sum of its proper divisors (111063989466).

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

75663248166 is a wasteful number, since it uses less digits than its factorization.

75663248166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9938 (or 9935 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 75663248166 in words is "seventy-five billion, six hundred sixty-three million, two hundred forty-eight thousand, one hundred sixty-six".