30730642691328 has 324 divisors, whose sum is σ = 93561927283188. Its totient is φ = 9699318743040.

The previous prime is 30730642691321. The next prime is 30730642691351. The reversal of 30730642691328 is 82319624603703.

30730642691328 is a `hidden beast` number, since 3 + 0 + 7 + 306 + 4 + 2 + 6 + 9 + 1 + 328 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14854179308544 + 15876463382784 = 3854112^2 + 3984528^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30730642691321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1780755276 + ... + 1780772532.

Almost surely, 2^{30730642691328} is an apocalyptic number.

30730642691328 is a gapful number since it is divisible by the number (38) 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 30730642691328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46780963641594).

30730642691328 is an abundant number, since it is smaller than the sum of its proper divisors (62831284591860).

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

30730642691328 is a wasteful number, since it uses less digits than its factorization.

30730642691328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19458 (or 19422 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 30730642691328 in words is "thirty trillion, seven hundred thirty billion, six hundred forty-two million, six hundred ninety-one thousand, three hundred twenty-eight".