30727042830 has 144 divisors (see below), whose sum is σ = 90057934512. Its totient is φ = 7208467200.

The previous prime is 30727042817. The next prime is 30727042831. The reversal of 30727042830 is 3824072703.

30727042830 is a `hidden beast` number, since 307 + 2 + 70 + 4 + 283 + 0 = 666.

It is a super-2 number, since 2×30727042830² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30727042831) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 935242 + ... + 967538.

It is an arithmetic number, because the mean of its divisors is an integer number (625402323).

Almost surely, 2^30727042830 is an apocalyptic number.

30727042830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30727042830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45028967256).

30727042830 is an abundant number, since it is smaller than the sum of its proper divisors (59330891682).

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

30727042830 is a wasteful number, since it uses less digits than its factorization.

30727042830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32383 (or 32349 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 30727042830 in words is "thirty billion, seven hundred twenty-seven million, forty-two thousand, eight hundred thirty".