30180768000 has 288 divisors, whose sum is σ = 102393607680. Its totient is φ = 7875788800.

The previous prime is 30180767977. The next prime is 30180768001. The reversal of 30180768000 is 86708103.

It is not an unprimeable number, because it can be changed into a prime (30180768001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4508656 + ... + 4515344.

It is an arithmetic number, because the mean of its divisors is an integer number (355533360).

Almost surely, 2^30180768000 is an apocalyptic number.

30180768000 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 30180768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51196803840).

30180768000 is an abundant number, since it is smaller than the sum of its proper divisors (72212839680).

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

30180768000 is an equidigital number, since it uses as much as digits as its factorization.

30180768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6770 (or 6746 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 30180768000 in words is "thirty billion, one hundred eighty million, seven hundred sixty-eight thousand".