93644420480 has 128 divisors (see below), whose sum is σ = 243478569600. Its totient is φ = 34233753600.

The previous prime is 93644420459. The next prime is 93644420483. The reversal of 93644420480 is 8402444639.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93644420483) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 784601 + ... + 896039.

It is an arithmetic number, because the mean of its divisors is an integer number (1902176325).

Almost surely, 2^93644420480 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 93644420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121739284800).

93644420480 is an abundant number, since it is smaller than the sum of its proper divisors (149834149120).

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

93644420480 is a wasteful number, since it uses less digits than its factorization.

93644420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111572 (or 111560 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 44.

The spelling of 93644420480 in words is "ninety-three billion, six hundred forty-four million, four hundred twenty thousand, four hundred eighty".