30753381840 has 240 divisors, whose sum is σ = 98066776896. Its totient is φ = 7971891200.

The previous prime is 30753381839. The next prime is 30753381941. The reversal of 30753381840 is 4818335703.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 30753381792 and 30753381801.

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 47 ways as a sum of consecutive naturals, for example, 109442500 + ... + 109442780.

Almost surely, 2^30753381840 is an apocalyptic number.

30753381840 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 30753381840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49033388448).

30753381840 is an abundant number, since it is smaller than the sum of its proper divisors (67313395056).

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

30753381840 is a wasteful number, since it uses less digits than its factorization.

30753381840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 30753381840 in words is "thirty billion, seven hundred fifty-three million, three hundred eighty-one thousand, eight hundred forty".