75633217053696 has 165 divisors, whose sum is σ = 225863052476809. Its totient is φ = 25210237464576.

The previous prime is 75633217053689. The next prime is 75633217053749. The reversal of 75633217053696 is 69635071233657.

The square root of 75633217053696 is 8696736.

It is a perfect power (a square), and thus also a powerful number.

75633217053696 is a `hidden beast` number, since 7 + 5 + 6 + 3 + 3 + 2 + 1 + 7 + 0 + 536 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19683774489600 + 55949442564096 = 4436640^2 + 7479936^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2504644870 + ... + 2504675066.

Almost surely, 2^{75633217053696} is an apocalyptic number.

75633217053696 is the 8696736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75633217053696

75633217053696 is an abundant number, since it is smaller than the sum of its proper divisors (150229835423113).

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

75633217053696 is an frugal number, since it uses more digits than its factorization.

75633217053696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60426 (or 30202 counting only the distinct ones).

The product of its (nonzero) digits is 128595600, while the sum is 63.

The spelling of 75633217053696 in words is "seventy-five trillion, six hundred thirty-three billion, two hundred seventeen million, fifty-three thousand, six hundred ninety-six".