30390816768 has 624 divisors, whose sum is σ = 100663589376. Its totient is φ = 8068792320.

The previous prime is 30390816767. The next prime is 30390816779. The reversal of 30390816768 is 86761809303.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×30390816768² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 30390816768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30390816767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 980348913 + ... + 980348943.

Almost surely, 2^30390816768 is an apocalyptic number.

30390816768 is a gapful number since it is divisible by the number (38) 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 30390816768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50331794688).

30390816768 is an abundant number, since it is smaller than the sum of its proper divisors (70272772608).

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

30390816768 is a wasteful number, since it uses less digits than its factorization.

30390816768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 30390816768 in words is "thirty billion, three hundred ninety million, eight hundred sixteen thousand, seven hundred sixty-eight".