30668544000 has 1152 divisors, whose sum is σ = 125566459200. Its totient is φ = 7431782400.

The previous prime is 30668543981. The next prime is 30668544007. The reversal of 30668544000 is 44586603.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30668544007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1057535986 + ... + 1057536014.

Almost surely, 2^30668544000 is an apocalyptic number.

30668544000 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 30668544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62783229600).

30668544000 is an abundant number, since it is smaller than the sum of its proper divisors (94897915200).

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

30668544000 is an equidigital number, since it uses as much as digits as its factorization.

30668544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 30668544000 in words is "thirty billion, six hundred sixty-eight million, five hundred forty-four thousand".