30009293406720 has 640 divisors, whose sum is σ = 108185932800000. Its totient is φ = 7883268341760.

The previous prime is 30009293406683. The next prime is 30009293406721. The reversal of 30009293406720 is 2760439290003.

30009293406720 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 92 + 93 + 406 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×30009293406720³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (30009293406721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10006431781 + ... + 10006434779.

It is an arithmetic number, because the mean of its divisors is an integer number (169040520000).

Almost surely, 2^{30009293406720} is an apocalyptic number.

30009293406720 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 30009293406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54092966400000).

30009293406720 is an abundant number, since it is smaller than the sum of its proper divisors (78176639393280).

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

30009293406720 is a wasteful number, since it uses less digits than its factorization.

30009293406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5141 (or 5119 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 30009293406720 in words is "thirty trillion, nine billion, two hundred ninety-three million, four hundred six thousand, seven hundred twenty".