30213488640 has 120 divisors (see below), whose sum is σ = 96680999520. Its totient is φ = 8056864768.

The previous prime is 30213488633. The next prime is 30213488707. The reversal of 30213488640 is 4688431203.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 184291 + ... + 307229.

It is an arithmetic number, because the mean of its divisors is an integer number (805674996).

Almost surely, 2^30213488640 is an apocalyptic number.

30213488640 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 30213488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48340499760).

30213488640 is an abundant number, since it is smaller than the sum of its proper divisors (66467510880).

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

30213488640 is an equidigital number, since it uses as much as digits as its factorization.

30213488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122975 (or 122949 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 30213488640 in words is "thirty billion, two hundred thirteen million, four hundred eighty-eight thousand, six hundred forty".