30498081768 has 480 divisors, whose sum is σ = 112178325600. Its totient is φ = 7645881600.

The previous prime is 30498081767. The next prime is 30498081791. The reversal of 30498081768 is 86718089403.

30498081768 is a `hidden beast` number, since 3 + 0 + 498 + 0 + 81 + 76 + 8 = 666.

It is a Cunningham number, because it is equal to 174637²-1.

It is a super-2 number, since 2×30498081768² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (30498081767) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10127383 + ... + 10130393.

It is an arithmetic number, because the mean of its divisors is an integer number (233704845).

Almost surely, 2^30498081768 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 30498081768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56089162800).

30498081768 is an abundant number, since it is smaller than the sum of its proper divisors (81680243832).

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

30498081768 is a wasteful number, since it uses less digits than its factorization.

30498081768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3083 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 30498081768 in words is "thirty billion, four hundred ninety-eight million, eighty-one thousand, seven hundred sixty-eight".