93946068480 has 640 divisors, whose sum is σ = 348740536320. Its totient is φ = 21335408640.

The previous prime is 93946068431. The next prime is 93946068493. The reversal of 93946068480 is 8486064939.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 93946068480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171747567 + ... + 171748113.

It is an arithmetic number, because the mean of its divisors is an integer number (544907088).

Almost surely, 2^93946068480 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 93946068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174370268160).

93946068480 is an abundant number, since it is smaller than the sum of its proper divisors (254794467840).

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

93946068480 is a wasteful number, since it uses less digits than its factorization.

93946068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 93946068480 in words is "ninety-three billion, nine hundred forty-six million, sixty-eight thousand, four hundred eighty".