93236064768 has 1200 divisors, whose sum is σ = 365086570464. Its totient is φ = 23410114560.

The previous prime is 93236064767. The next prime is 93236064797. The reversal of 93236064768 is 86746063239.

93236064768 is a `hidden beast` number, since 9 + 3 + 23 + 606 + 4 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (93236064767) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 961196496 + ... + 961196592.

Almost surely, 2^93236064768 is an apocalyptic number.

93236064768 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93236064768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182543285232).

93236064768 is an abundant number, since it is smaller than the sum of its proper divisors (271850505696).

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

93236064768 is a wasteful number, since it uses less digits than its factorization.

93236064768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 93236064768 in words is "ninety-three billion, two hundred thirty-six million, sixty-four thousand, seven hundred sixty-eight".