30669446768640 has 384 divisors, whose sum is σ = 103228078786560. Its totient is φ = 7763381452800.

The previous prime is 30669446768573. The next prime is 30669446768641. The reversal of 30669446768640 is 4686764496603.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×30669446768640² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30669446768641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46273185 + ... + 46931295.

It is an arithmetic number, because the mean of its divisors is an integer number (268823121840).

Almost surely, 2^{30669446768640} is an apocalyptic number.

30669446768640 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 30669446768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51614039393280).

30669446768640 is an abundant number, since it is smaller than the sum of its proper divisors (72558632017920).

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

30669446768640 is a wasteful number, since it uses less digits than its factorization.

30669446768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658219 (or 658199 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 69.

The spelling of 30669446768640 in words is "thirty trillion, six hundred sixty-nine billion, four hundred forty-six million, seven hundred sixty-eight thousand, six hundred forty".