30820644494640 has 1920 divisors, whose sum is σ = 147386698647552. Its totient is φ = 5554885754880.

The previous prime is 30820644494597. The next prime is 30820644494659. The reversal of 30820644494640 is 4649444602803.

It is a happy number.

30820644494640 is a `hidden beast` number, since 3 + 0 + 82 + 0 + 64 + 4 + 49 + 464 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9274944019 + ... + 9274947341.

Almost surely, 2^{30820644494640} is an apocalyptic number.

30820644494640 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 30820644494640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73693349323776).

30820644494640 is an abundant number, since it is smaller than the sum of its proper divisors (116566054152912).

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

30820644494640 is a wasteful number, since it uses less digits than its factorization.

30820644494640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4147 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 30820644494640 in words is "thirty trillion, eight hundred twenty billion, six hundred forty-four million, four hundred ninety-four thousand, six hundred forty".