75563059968 has 432 divisors, whose sum is σ = 248286004512. Its totient is φ = 21897216000.

The previous prime is 75563059961. The next prime is 75563059969. The reversal of 75563059968 is 86995036557.

75563059968 is a `hidden beast` number, since 7 + 5 + 5 + 6 + 30 + 599 + 6 + 8 = 666.

It is a super-2 number, since 2×75563059968² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75563059961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57200748 + ... + 57202068.

Almost surely, 2^75563059968 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 75563059968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124143002256).

75563059968 is an abundant number, since it is smaller than the sum of its proper divisors (172722944544).

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

75563059968 is a wasteful number, since it uses less digits than its factorization.

75563059968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

The spelling of 75563059968 in words is "seventy-five billion, five hundred sixty-three million, fifty-nine thousand, nine hundred sixty-eight".