30493406736 has 960 divisors, whose sum is σ = 111142886400. Its totient is φ = 7691894784.

The previous prime is 30493406639. The next prime is 30493406737. The reversal of 30493406736 is 63760439403.

30493406736 is a `hidden beast` number, since 30 + 493 + 40 + 67 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30493406691 and 30493406700.

It is not an unprimeable number, because it can be changed into a prime (30493406737) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 648795865 + ... + 648795911.

It is an arithmetic number, because the mean of its divisors is an integer number (115773840).

Almost surely, 2^30493406736 is an apocalyptic number.

30493406736 is a gapful number since it is divisible by the number (36) 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 30493406736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55571443200).

30493406736 is an abundant number, since it is smaller than the sum of its proper divisors (80649479664).

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

30493406736 is a wasteful number, since it uses less digits than its factorization.

30493406736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 30493406736 in words is "thirty billion, four hundred ninety-three million, four hundred six thousand, seven hundred thirty-six".