30707948072480 has 384 divisors, whose sum is σ = 89784477941760. Its totient is φ = 9698895360000.

The previous prime is 30707948072479. The next prime is 30707948072497. The reversal of 30707948072480 is 8427084970703.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71273705 + ... + 71703255.

It is an arithmetic number, because the mean of its divisors is an integer number (233813744640).

Almost surely, 2^{30707948072480} 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 30707948072480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44892238970880).

30707948072480 is an abundant number, since it is smaller than the sum of its proper divisors (59076529869280).

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

30707948072480 is a wasteful number, since it uses less digits than its factorization.

30707948072480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429704 (or 429696 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 59.

The spelling of 30707948072480 in words is "thirty trillion, seven hundred seven billion, nine hundred forty-eight million, seventy-two thousand, four hundred eighty".