30068720640 has 1056 divisors, whose sum is σ = 130381781760. Its totient is φ = 6539968512.

The previous prime is 30068720629. The next prime is 30068720657. The reversal of 30068720640 is 4602786003.

30068720640 is a `hidden beast` number, since 3 + 0 + 0 + 6 + 8 + 7 + 2 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30068720595 and 30068720604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155796384 + ... + 155796576.

Almost surely, 2^30068720640 is an apocalyptic number.

30068720640 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 30068720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65190890880).

30068720640 is an abundant number, since it is smaller than the sum of its proper divisors (100313061120).

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

30068720640 is a wasteful number, since it uses less digits than its factorization.

30068720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 30068720640 in words is "thirty billion, sixty-eight million, seven hundred twenty thousand, six hundred forty".