30493985760 has 720 divisors, whose sum is σ = 129310473600. Its totient is φ = 6740858880.

The previous prime is 30493985759. The next prime is 30493985783. The reversal of 30493985760 is 6758939403.

30493985760 is a `hidden beast` number, since 3 + 0 + 493 + 9 + 85 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 30493985697 and 30493985706.

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 19685466 + ... + 19687014.

It is an arithmetic number, because the mean of its divisors is an integer number (179597880).

Almost surely, 2^30493985760 is an apocalyptic number.

30493985760 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 30493985760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64655236800).

30493985760 is an abundant number, since it is smaller than the sum of its proper divisors (98816487840).

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

30493985760 is a wasteful number, since it uses less digits than its factorization.

30493985760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 30493985760 in words is "thirty billion, four hundred ninety-three million, nine hundred eighty-five thousand, seven hundred sixty".