30543005664 has 240 divisors, whose sum is σ = 99248532768. Its totient is φ = 9165201408.

The previous prime is 30543005663. The next prime is 30543005677. The reversal of 30543005664 is 46650034503.

30543005664 is a `hidden beast` number, since 3 + 0 + 543 + 0 + 0 + 56 + 64 = 666.

It is a super-2 number, since 2×30543005664² (a number of 22 digits) contains 22 as substring.

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 (30543005663) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 998404 + ... + 1028540.

Almost surely, 2^30543005664 is an apocalyptic number.

30543005664 is a gapful number since it is divisible by the number (34) 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 30543005664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49624266384).

30543005664 is an abundant number, since it is smaller than the sum of its proper divisors (68705527104).

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

30543005664 is a wasteful number, since it uses less digits than its factorization.

30543005664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30199 (or 30182 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 30543005664 in words is "thirty billion, five hundred forty-three million, five thousand, six hundred sixty-four".