30864727992 has 192 divisors, whose sum is σ = 95024016000. Its totient is φ = 8306613504.

The previous prime is 30864727913. The next prime is 30864728003. The reversal of 30864727992 is 29972746803.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3995718 + ... + 4003434.

It is an arithmetic number, because the mean of its divisors is an integer number (494916750).

Almost surely, 2^30864727992 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 30864727992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47512008000).

30864727992 is an abundant number, since it is smaller than the sum of its proper divisors (64159288008).

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

30864727992 is a wasteful number, since it uses less digits than its factorization.

30864727992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7938 (or 7927 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 30864727992 in words is "thirty billion, eight hundred sixty-four million, seven hundred twenty-seven thousand, nine hundred ninety-two".