30226072968 has 192 divisors, whose sum is σ = 105182784000. Its totient is φ = 7971675264.

The previous prime is 30226072963. The next prime is 30226072999. The reversal of 30226072968 is 86927062203.

30226072968 is a `hidden beast` number, since 30 + 2 + 2 + 607 + 2 + 9 + 6 + 8 = 666.

It is a super-3 number, since 3×30226072968³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (30226072963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27753 + ... + 247431.

It is an arithmetic number, because the mean of its divisors is an integer number (547827000).

Almost surely, 2^30226072968 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 30226072968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52591392000).

30226072968 is an abundant number, since it is smaller than the sum of its proper divisors (74956711032).

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

30226072968 is a wasteful number, since it uses less digits than its factorization.

30226072968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219721 (or 219704 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 30226072968 in words is "thirty billion, two hundred twenty-six million, seventy-two thousand, nine hundred sixty-eight".