30420687360 has 320 divisors, whose sum is σ = 111451152384. Its totient is φ = 6934118400.

The previous prime is 30420687331. The next prime is 30420687377. The reversal of 30420687360 is 6378602403.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30696465 + ... + 30697455.

Almost surely, 2^30420687360 is an apocalyptic number.

30420687360 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 30420687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55725576192).

30420687360 is an abundant number, since it is smaller than the sum of its proper divisors (81030465024).

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

30420687360 is an equidigital number, since it uses as much as digits as its factorization.

30420687360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 30420687360 in words is "thirty billion, four hundred twenty million, six hundred eighty-seven thousand, three hundred sixty".