30688219968 has 224 divisors, whose sum is σ = 97861770240. Its totient is φ = 8291082240.

The previous prime is 30688219963. The next prime is 30688219973. The reversal of 30688219968 is 86991288603.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30688219963) and next prime (30688219973).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30688219963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22547608 + ... + 22548968.

Almost surely, 2^30688219968 is an apocalyptic number.

30688219968 is a gapful number since it is divisible by the number (38) 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 30688219968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48930885120).

30688219968 is an abundant number, since it is smaller than the sum of its proper divisors (67173550272).

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

30688219968 is a wasteful number, since it uses less digits than its factorization.

30688219968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 60.

The spelling of 30688219968 in words is "thirty billion, six hundred eighty-eight million, two hundred nineteen thousand, nine hundred sixty-eight".