30804490080 has 768 divisors, whose sum is σ = 133957877760. Its totient is φ = 6437781504.

The previous prime is 30804490063. The next prime is 30804490081. The reversal of 30804490080 is 8009440803.

It is a super-3 number, since 3×30804490080³ (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30804490081) 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, 49925932 + ... + 49926548.

It is an arithmetic number, because the mean of its divisors is an integer number (174424320).

Almost surely, 2^30804490080 is an apocalyptic number.

30804490080 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 30804490080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66978938880).

30804490080 is an abundant number, since it is smaller than the sum of its proper divisors (103153387680).

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

30804490080 is a wasteful number, since it uses less digits than its factorization.

30804490080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 30804490080 in words is "thirty billion, eight hundred four million, four hundred ninety thousand, eighty".