30640721892480 has 1536 divisors, whose sum is σ = 130757198607360. Its totient is φ = 6452042268672.

The previous prime is 30640721892461. The next prime is 30640721892503. The reversal of 30640721892480 is 8429812704603.

30640721892480 is a `hidden beast` number, since 3 + 0 + 6 + 4 + 0 + 72 + 1 + 8 + 92 + 480 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22414572757 + ... + 22414574123.

It is an arithmetic number, because the mean of its divisors is an integer number (85128384510).

Almost surely, 2^{30640721892480} is an apocalyptic number.

30640721892480 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 30640721892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65378599303680).

30640721892480 is an abundant number, since it is smaller than the sum of its proper divisors (100116476714880).

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

30640721892480 is a wasteful number, since it uses less digits than its factorization.

30640721892480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 30640721892480 in words is "thirty trillion, six hundred forty billion, seven hundred twenty-one million, eight hundred ninety-two thousand, four hundred eighty".