30973363729920 has 240 divisors, whose sum is σ = 107677359627552. Its totient is φ = 8228156866560.

The previous prime is 30973363729907. The next prime is 30973363729991. The reversal of 30973363729920 is 2992736337903.

30973363729920 is a `hidden beast` number, since 3 + 0 + 9 + 7 + 336 + 3 + 7 + 299 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3503760 + ... + 8615280.

Almost surely, 2^{30973363729920} is an apocalyptic number.

30973363729920 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 30973363729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53838679813776).

30973363729920 is an abundant number, since it is smaller than the sum of its proper divisors (76703995897632).

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

30973363729920 is a wasteful number, since it uses less digits than its factorization.

30973363729920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5111813 (or 5111794 counting only the distinct ones).

The product of its (nonzero) digits is 69441624, while the sum is 63.

The spelling of 30973363729920 in words is "thirty trillion, nine hundred seventy-three billion, three hundred sixty-three million, seven hundred twenty-nine thousand, nine hundred twenty".