30798472320 has 1024 divisors, whose sum is σ = 138184704000. Its totient is φ = 6297108480.

The previous prime is 30798472249. The next prime is 30798472321. The reversal of 30798472320 is 2327489703.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (30798472321) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 105114094 + ... + 105114386.

It is an arithmetic number, because the mean of its divisors is an integer number (134946000).

Almost surely, 2^30798472320 is an apocalyptic number.

30798472320 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 30798472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69092352000).

30798472320 is an abundant number, since it is smaller than the sum of its proper divisors (107386231680).

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

30798472320 is a wasteful number, since it uses less digits than its factorization.

30798472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 30798472320 in words is "thirty billion, seven hundred ninety-eight million, four hundred seventy-two thousand, three hundred twenty".