30068674272000 has 3456 divisors, whose sum is σ = 140862013673472. Its totient is φ = 5985239040000.

The previous prime is 30068674271983. The next prime is 30068674272017. The reversal of 30068674272000 is 27247686003.

30068674272000 is a `hidden beast` number, since 300 + 6 + 8 + 6 + 74 + 272 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30068674271983) and next prime (30068674272017).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 50031071700 + ... + 50031072300.

It is an arithmetic number, because the mean of its divisors is an integer number (40758684512).

Almost surely, 2^{30068674272000} is an apocalyptic number.

30068674272000 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 30068674272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70431006836736).

30068674272000 is an abundant number, since it is smaller than the sum of its proper divisors (110793339401472).

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

30068674272000 is a wasteful number, since it uses less digits than its factorization.

30068674272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 30068674272000 in words is "thirty trillion, sixty-eight billion, six hundred seventy-four million, two hundred seventy-two thousand".