93879336960 has 544 divisors, whose sum is σ = 340491000960. Its totient is φ = 24843386880.

The previous prime is 93879336953. The next prime is 93879336983. The reversal of 93879336960 is 6963397839.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 716636095 + ... + 716636225.

Almost surely, 2^93879336960 is an apocalyptic number.

93879336960 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 93879336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170245500480).

93879336960 is an abundant number, since it is smaller than the sum of its proper divisors (246611664000).

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

93879336960 is an frugal number, since it uses more digits than its factorization.

93879336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 63.

The spelling of 93879336960 in words is "ninety-three billion, eight hundred seventy-nine million, three hundred thirty-six thousand, nine hundred sixty".