30312247680 has 1536 divisors, whose sum is σ = 134730086400. Its totient is φ = 6409912320.

The previous prime is 30312247657. The next prime is 30312247723. The reversal of 30312247680 is 8674221303.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 644941417 + ... + 644941463.

It is an arithmetic number, because the mean of its divisors is an integer number (87714900).

Almost surely, 2^30312247680 is an apocalyptic number.

30312247680 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 30312247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67365043200).

30312247680 is an abundant number, since it is smaller than the sum of its proper divisors (104417838720).

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

30312247680 is a wasteful number, since it uses less digits than its factorization.

30312247680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 30312247680 its reverse (8674221303), we get a palindrome (38986468983).

The spelling of 30312247680 in words is "thirty billion, three hundred twelve million, two hundred forty-seven thousand, six hundred eighty".