30015381968 has 360 divisors, whose sum is σ = 76347504072. Its totient is φ = 11313561600.

The previous prime is 30015381889. The next prime is 30015381971. The reversal of 30015381968 is 86918351003.

It can be written as a sum of positive squares in 4 ways, for example, as 4109835664 + 25905546304 = 64108^2 + 160952^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 411169580 + ... + 411169652.

Almost surely, 2^30015381968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30015381968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38173752036).

30015381968 is an abundant number, since it is smaller than the sum of its proper divisors (46332122104).

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

30015381968 is a wasteful number, since it uses less digits than its factorization.

30015381968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The spelling of 30015381968 in words is "thirty billion, fifteen million, three hundred eighty-one thousand, nine hundred sixty-eight".