30768549295680 has 1120 divisors, whose sum is σ = 129106403712000. Its totient is φ = 6810264096768.

The previous prime is 30768549295663. The next prime is 30768549295681. The reversal of 30768549295680 is 8659294586703.

It is a happy number.

30768549295680 is a `hidden beast` number, since 3 + 0 + 7 + 6 + 8 + 5 + 492 + 9 + 56 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 30768549295599 and 30768549295608.

It is not an unprimeable number, because it can be changed into a prime (30768549295681) 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, 717210871 + ... + 717253769.

Almost surely, 2^{30768549295680} is an apocalyptic number.

30768549295680 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 30768549295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64553201856000).

30768549295680 is an abundant number, since it is smaller than the sum of its proper divisors (98337854416320).

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

30768549295680 is a wasteful number, since it uses less digits than its factorization.

30768549295680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43061 (or 43042 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 30768549295680 in words is "thirty trillion, seven hundred sixty-eight billion, five hundred forty-nine million, two hundred ninety-five thousand, six hundred eighty".