93315278768640 has 320 divisors, whose sum is σ = 298807478133120. Its totient is φ = 24843220090880.

The previous prime is 93315278768609. The next prime is 93315278768771. The reversal of 93315278768640 is 4686787251339.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

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, 17576806306 + ... + 17576811614.

It is an arithmetic number, because the mean of its divisors is an integer number (933773369166).

It is a 1-persistent number, because it is pandigital, but 2⋅93315278768640 = 186630557537280 is not.

Almost surely, 2^{93315278768640} 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 93315278768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149403739066560).

93315278768640 is an abundant number, since it is smaller than the sum of its proper divisors (205492199364480).

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

93315278768640 is a wasteful number, since it uses less digits than its factorization.

93315278768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8663 (or 8647 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 69.

The spelling of 93315278768640 in words is "ninety-three trillion, three hundred fifteen billion, two hundred seventy-eight million, seven hundred sixty-eight thousand, six hundred forty".