93005836680 has 128 divisors (see below), whose sum is σ = 289116241920. Its totient is φ = 23909994240.

The previous prime is 93005836663. The next prime is 93005836687. The reversal of 93005836680 is 8663850039.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (93005836687) 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 31 ways as a sum of consecutive naturals, for example, 930829 + ... + 1025891.

It is an arithmetic number, because the mean of its divisors is an integer number (2258720640).

Almost surely, 2^93005836680 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 93005836680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144558120960).

93005836680 is an abundant number, since it is smaller than the sum of its proper divisors (196110405240).

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

93005836680 is a wasteful number, since it uses less digits than its factorization.

93005836680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95371 (or 95367 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 93005836680 in words is "ninety-three billion, five million, eight hundred thirty-six thousand, six hundred eighty".