30720000000 has 288 divisors, whose sum is σ = 102399347232. Its totient is φ = 8192000000.

The previous prime is 30719999983. The next prime is 30720000001. The reversal of 30720000000 is 2703.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 4000 × 2400 × 3200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30720000001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6143999998 + ... + 6144000002.

It is an arithmetic number, because the mean of its divisors is an integer number (355553289).

Almost surely, 2^30720000000 is an apocalyptic number.

30720000000 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 30720000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51199673616).

30720000000 is an abundant number, since it is smaller than the sum of its proper divisors (71679347232).

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

30720000000 is an frugal number, since it uses more digits than its factorization.

30720000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 12.

Adding to 30720000000 its reverse (2703), we get a palindrome (30720002703).

The spelling of 30720000000 in words is "thirty billion, seven hundred twenty million", and thus it is an aban number.