93706632690768 has 400 divisors, whose sum is σ = 282286802012160. Its totient is φ = 29978084966400.

The previous prime is 93706632690767. The next prime is 93706632690833. The reversal of 93706632690768 is 86709623660739.

It is a happy number.

93706632690768 is a `hidden beast` number, since 93 + 7 + 0 + 66 + 326 + 90 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 93706632690696 and 93706632690705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93706632690763) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2364458313 + ... + 2364497943.

Almost surely, 2^{93706632690768} 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 93706632690768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141143401006080).

93706632690768 is an abundant number, since it is smaller than the sum of its proper divisors (188580169321392).

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

93706632690768 is a wasteful number, since it uses less digits than its factorization.

93706632690768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40168 (or 40153 counting only the distinct ones).

The product of its (nonzero) digits is 740710656, while the sum is 72.

The spelling of 93706632690768 in words is "ninety-three trillion, seven hundred six billion, six hundred thirty-two million, six hundred ninety thousand, seven hundred sixty-eight".