30747133440 has 200 divisors, whose sum is σ = 110127259440. Its totient is φ = 8199180288.

The previous prime is 30747133399. The next prime is 30747133441. The reversal of 30747133440 is 4433174703.

30747133440 is a `hidden beast` number, since 307 + 4 + 7 + 1 + 3 + 344 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 30747133395 and 30747133404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30747133441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 133221 + ... + 281499.

Almost surely, 2^30747133440 is an apocalyptic number.

30747133440 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 30747133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55063629720).

30747133440 is an abundant number, since it is smaller than the sum of its proper divisors (79380126000).

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

30747133440 is an equidigital number, since it uses as much as digits as its factorization.

30747133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148314 (or 148289 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 30747133440 in words is "thirty billion, seven hundred forty-seven million, one hundred thirty-three thousand, four hundred forty".