30246742656 has 768 divisors, whose sum is σ = 106453401600. Its totient is φ = 8465264640.

The previous prime is 30246742627. The next prime is 30246742661. The reversal of 30246742656 is 65624764203.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 238163265 + ... + 238163391.

It is an arithmetic number, because the mean of its divisors is an integer number (138611200).

Almost surely, 2^30246742656 is an apocalyptic number.

30246742656 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 30246742656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53226700800).

30246742656 is an abundant number, since it is smaller than the sum of its proper divisors (76206658944).

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

30246742656 is a wasteful number, since it uses less digits than its factorization.

30246742656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 30246742656 in words is "thirty billion, two hundred forty-six million, seven hundred forty-two thousand, six hundred fifty-six".