933800461680 has 480 divisors, whose sum is σ = 3171622003200. Its totient is φ = 226972956672.

The previous prime is 933800461621. The next prime is 933800461681. The reversal of 933800461680 is 86164008339.

It is a super-2 number, since 2×933800461680² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (933800461681) 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 95 ways as a sum of consecutive naturals, for example, 1052762197 + ... + 1052763083.

It is an arithmetic number, because the mean of its divisors is an integer number (6607545840).

Almost surely, 2^933800461680 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 933800461680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585811001600).

933800461680 is an abundant number, since it is smaller than the sum of its proper divisors (2237821541520).

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

933800461680 is a wasteful number, since it uses less digits than its factorization.

933800461680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 933800461680 in words is "nine hundred thirty-three billion, eight hundred million, four hundred sixty-one thousand, six hundred eighty".