30575497680 has 800 divisors, whose sum is σ = 137628691200. Its totient is φ = 6109323264.

The previous prime is 30575497669. The next prime is 30575497681. The reversal of 30575497680 is 8679457503.

30575497680 is a `hidden beast` number, since 3 + 0 + 5 + 75 + 497 + 6 + 80 = 666.

It is a super-3 number, since 3×30575497680³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30575497681) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11202556 + ... + 11205284.

It is an arithmetic number, because the mean of its divisors is an integer number (172035864).

Almost surely, 2^30575497680 is an apocalyptic number.

30575497680 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 30575497680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68814345600).

30575497680 is an abundant number, since it is smaller than the sum of its proper divisors (107053193520).

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

30575497680 is a wasteful number, since it uses less digits than its factorization.

30575497680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 30575497680 in words is "thirty billion, five hundred seventy-five million, four hundred ninety-seven thousand, six hundred eighty".