30723840000 has 960 divisors, whose sum is σ = 130998067200. Its totient is φ = 6967296000.

The previous prime is 30723839983. The next prime is 30723840089. The reversal of 30723840000 is 4832703.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 241919937 + ... + 241920063.

It is an arithmetic number, because the mean of its divisors is an integer number (136456320).

Almost surely, 2^30723840000 is an apocalyptic number.

30723840000 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 30723840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65499033600).

30723840000 is an abundant number, since it is smaller than the sum of its proper divisors (100274227200).

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

30723840000 is an equidigital number, since it uses as much as digits as its factorization.

30723840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 30723840000 in words is "thirty billion, seven hundred twenty-three million, eight hundred forty thousand".