30672658676880 has 1600 divisors, whose sum is σ = 121744482140160. Its totient is φ = 7089995059200.

The previous prime is 30672658676867. The next prime is 30672658676921. The reversal of 30672658676880 is 8867685627603.

30672658676880 is a `hidden beast` number, since 30 + 6 + 7 + 2 + 6 + 586 + 7 + 6 + 8 + 8 + 0 = 666.

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 = 30672658676799 and 30672658676808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 83576726457 + ... + 83576726823.

Almost surely, 2^{30672658676880} is an apocalyptic number.

30672658676880 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 30672658676880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60872241070080).

30672658676880 is an abundant number, since it is smaller than the sum of its proper divisors (91071823463280).

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

30672658676880 is a wasteful number, since it uses less digits than its factorization.

30672658676880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 30672658676880 in words is "thirty trillion, six hundred seventy-two billion, six hundred fifty-eight million, six hundred seventy-six thousand, eight hundred eighty".