30873648960 has 1120 divisors, whose sum is σ = 141622272000. Its totient is φ = 6195916800.

The previous prime is 30873648959. The next prime is 30873649007. The reversal of 30873648960 is 6984637803.

30873648960 is a `hidden beast` number, since 30 + 8 + 73 + 6 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 30873648897 and 30873648906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 61870791 + ... + 61871289.

Almost surely, 2^30873648960 is an apocalyptic number.

30873648960 is a gapful number since it is divisible by the number (30) 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 30873648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70811136000).

30873648960 is an abundant number, since it is smaller than the sum of its proper divisors (110748623040).

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

30873648960 is a wasteful number, since it uses less digits than its factorization.

30873648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 30873648960 in words is "thirty billion, eight hundred seventy-three million, six hundred forty-eight thousand, nine hundred sixty".