30032946720000 has 1350 divisors, whose sum is σ = 130178183473338. Its totient is φ = 6864528384000.

The previous prime is 30032946719959. The next prime is 30032946720017. The reversal of 30032946720000 is 2764923003.

It is a happy number.

30032946720000 is a `hidden beast` number, since 300 + 3 + 2 + 94 + 67 + 200 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 11018044590336 + 19014902129664 = 3319344^2 + 4360608^2 .

It is a tau number, because it is divible by the number of its divisors (1350).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 635016354 + ... + 635063646.

Almost surely, 2^{30032946720000} is an apocalyptic number.

30032946720000 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 30032946720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65089091736669).

30032946720000 is an abundant number, since it is smaller than the sum of its proper divisors (100145236753338).

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

30032946720000 is an frugal number, since it uses more digits than its factorization.

30032946720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47355 (or 47310 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 30032946720000 in words is "thirty trillion, thirty-two billion, nine hundred forty-six million, seven hundred twenty thousand".