93821327349840 has 640 divisors, whose sum is σ = 352267510579200. Its totient is φ = 22864261754880.

The previous prime is 93821327349829. The next prime is 93821327349847. The reversal of 93821327349840 is 4894372312839.

93821327349840 is a `hidden beast` number, since 9 + 3 + 8 + 2 + 1 + 32 + 73 + 498 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93821327349847) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 398093317 + ... + 398328923.

It is an arithmetic number, because the mean of its divisors is an integer number (550417985280).

Almost surely, 2^{93821327349840} is an apocalyptic number.

93821327349840 is a gapful number since it is divisible by the number (90) 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 93821327349840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176133755289600).

93821327349840 is an abundant number, since it is smaller than the sum of its proper divisors (258446183229360).

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

93821327349840 is a wasteful number, since it uses less digits than its factorization.

93821327349840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235992 (or 235980 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 93821327349840 in words is "ninety-three trillion, eight hundred twenty-one billion, three hundred twenty-seven million, three hundred forty-nine thousand, eight hundred forty".