30675477960 has 384 divisors, whose sum is σ = 111591043200. Its totient is φ = 7262576640.

The previous prime is 30675477953. The next prime is 30675477961. The reversal of 30675477960 is 6977457603.

30675477960 is a `hidden beast` number, since 3 + 0 + 6 + 7 + 547 + 7 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30675477897 and 30675477906.

It is not an unprimeable number, because it can be changed into a prime (30675477961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38488282 + ... + 38489078.

It is an arithmetic number, because the mean of its divisors is an integer number (290601675).

Almost surely, 2^30675477960 is an apocalyptic number.

30675477960 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 30675477960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55795521600).

30675477960 is an abundant number, since it is smaller than the sum of its proper divisors (80915565240).

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

30675477960 is a wasteful number, since it uses less digits than its factorization.

30675477960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 30675477960 in words is "thirty billion, six hundred seventy-five million, four hundred seventy-seven thousand, nine hundred sixty".