30219734664 has 384 divisors, whose sum is σ = 101818080000. Its totient is φ = 8214441984.

The previous prime is 30219734653. The next prime is 30219734711. The reversal of 30219734664 is 46643791203.

30219734664 is a `hidden beast` number, since 30 + 219 + 7 + 346 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28807612 + ... + 28808660.

It is an arithmetic number, because the mean of its divisors is an integer number (265151250).

Almost surely, 2^30219734664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30219734664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50909040000).

30219734664 is an abundant number, since it is smaller than the sum of its proper divisors (71598345336).

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

30219734664 is a wasteful number, since it uses less digits than its factorization.

30219734664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 30219734664 in words is "thirty billion, two hundred nineteen million, seven hundred thirty-four thousand, six hundred sixty-four".