30794376960 has 288 divisors, whose sum is σ = 110670336000. Its totient is φ = 8107167744.

The previous prime is 30794376953. The next prime is 30794377007. The reversal of 30794376960 is 6967349703.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 30794376897 and 30794376906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2724601 + ... + 2735879.

It is an arithmetic number, because the mean of its divisors is an integer number (384272000).

Almost surely, 2^30794376960 is an apocalyptic number.

30794376960 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 30794376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55335168000).

30794376960 is an abundant number, since it is smaller than the sum of its proper divisors (79875959040).

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

30794376960 is a wasteful number, since it uses less digits than its factorization.

30794376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11388 (or 11368 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 30794376960 in words is "thirty billion, seven hundred ninety-four million, three hundred seventy-six thousand, nine hundred sixty".