30680432640 has 960 divisors, whose sum is σ = 129474213120. Its totient is φ = 6794772480.

The previous prime is 30680432639. The next prime is 30680432659. The reversal of 30680432640 is 4623408603.

It is a happy number.

30680432640 is a `hidden beast` number, since 3 + 0 + 6 + 8 + 0 + 4 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30680432595 and 30680432604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 316293072 + ... + 316293168.

It is an arithmetic number, because the mean of its divisors is an integer number (134868972).

Almost surely, 2^30680432640 is an apocalyptic number.

30680432640 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 30680432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64737106560).

30680432640 is an abundant number, since it is smaller than the sum of its proper divisors (98793780480).

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

30680432640 is a wasteful number, since it uses less digits than its factorization.

30680432640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 30680432640 in words is "thirty billion, six hundred eighty million, four hundred thirty-two thousand, six hundred forty".