30430640684700 has 288 divisors, whose sum is σ = 100141260549120. Its totient is φ = 7923824870400.

The previous prime is 30430640684677. The next prime is 30430640684753. The reversal of 30430640684700 is 748604603403.

30430640684700 is a `hidden beast` number, since 30 + 4 + 30 + 64 + 0 + 68 + 470 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54670795 + ... + 55224605.

It is an arithmetic number, because the mean of its divisors is an integer number (347712710240).

Almost surely, 2^{30430640684700} is an apocalyptic number.

30430640684700 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 30430640684700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50070630274560).

30430640684700 is an abundant number, since it is smaller than the sum of its proper divisors (69710619864420).

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

30430640684700 is a wasteful number, since it uses less digits than its factorization.

30430640684700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554314 (or 554301 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 30430640684700 in words is "thirty trillion, four hundred thirty billion, six hundred forty million, six hundred eighty-four thousand, seven hundred".