30725574036768 has 480 divisors, whose sum is σ = 100936557691200. Its totient is φ = 9103827769344.

The previous prime is 30725574036767. The next prime is 30725574036847. The reversal of 30725574036768 is 86763047552703.

30725574036768 is a `hidden beast` number, since 3 + 0 + 7 + 2 + 557 + 4 + 0 + 3 + 6 + 76 + 8 = 666.

It is a super-2 number, since 2×30725574036768² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30725574036767) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 370311255 + ... + 370394217.

It is an arithmetic number, because the mean of its divisors is an integer number (210284495190).

Almost surely, 2^{30725574036768} 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 30725574036768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50468278845600).

30725574036768 is an abundant number, since it is smaller than the sum of its proper divisors (70210983654432).

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

30725574036768 is a wasteful number, since it uses less digits than its factorization.

30725574036768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83406 (or 83389 counting only the distinct ones).

The product of its (nonzero) digits is 177811200, while the sum is 63.

The spelling of 30725574036768 in words is "thirty trillion, seven hundred twenty-five billion, five hundred seventy-four million, thirty-six thousand, seven hundred sixty-eight".