30664140000 has 240 divisors, whose sum is σ = 108324537552. Its totient is φ = 7547904000.

The previous prime is 30664139981. The next prime is 30664140007. The reversal of 30664140000 is 4146603.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30664140007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 760344 + ... + 799656.

Almost surely, 2^30664140000 is an apocalyptic number.

30664140000 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 30664140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54162268776).

30664140000 is an abundant number, since it is smaller than the sum of its proper divisors (77660397552).

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

30664140000 is a wasteful number, since it uses less digits than its factorization.

30664140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39359 (or 39336 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 30664140000 its reverse (4146603), we get a palindrome (30668286603).

The spelling of 30664140000 in words is "thirty billion, six hundred sixty-four million, one hundred forty thousand".