933680805120 has 1008 divisors, whose sum is σ = 3855363628032. Its totient is φ = 212124303360.

The previous prime is 933680805103. The next prime is 933680805121. The reversal of 933680805120 is 21508086339.

It is a happy number.

933680805120 is a `hidden beast` number, since 93 + 368 + 0 + 80 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×933680805120³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (933680805121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1456600000 + ... + 1456600640.

It is an arithmetic number, because the mean of its divisors is an integer number (3824765504).

Almost surely, 2^933680805120 is an apocalyptic number.

933680805120 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 933680805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927681814016).

933680805120 is an abundant number, since it is smaller than the sum of its proper divisors (2921682822912).

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

933680805120 is an equidigital number, since it uses as much as digits as its factorization.

933680805120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 933680805120 in words is "nine hundred thirty-three billion, six hundred eighty million, eight hundred five thousand, one hundred twenty".