30805836960 has 384 divisors, whose sum is σ = 106305696000. Its totient is φ = 7468941312.

The previous prime is 30805836947. The next prime is 30805836967. The reversal of 30805836960 is 6963850803.

It is a super-2 number, since 2×30805836960² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (30805836967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71144904 + ... + 71145336.

It is an arithmetic number, because the mean of its divisors is an integer number (276837750).

Almost surely, 2^30805836960 is an apocalyptic number.

30805836960 is a gapful number since it is divisible by the number (30) 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 30805836960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53152848000).

30805836960 is an abundant number, since it is smaller than the sum of its proper divisors (75499859040).

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

30805836960 is a wasteful number, since it uses less digits than its factorization.

30805836960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 30805836960 in words is "thirty billion, eight hundred five million, eight hundred thirty-six thousand, nine hundred sixty".