30137273630064 has 200 divisors, whose sum is σ = 87538369842000. Its totient is φ = 10009847808000.

The previous prime is 30137273630041. The next prime is 30137273630083. The reversal of 30137273630064 is 46003637273103.

30137273630064 is a `hidden beast` number, since 3 + 0 + 1 + 3 + 7 + 2 + 7 + 3 + 630 + 0 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 414500914 + ... + 414573614.

It is an arithmetic number, because the mean of its divisors is an integer number (437691849210).

Almost surely, 2^{30137273630064} 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 30137273630064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43769184921000).

30137273630064 is an abundant number, since it is smaller than the sum of its proper divisors (57401096211936).

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

30137273630064 is a wasteful number, since it uses less digits than its factorization.

30137273630064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73861 (or 73846 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 45.

The spelling of 30137273630064 in words is "thirty trillion, one hundred thirty-seven billion, two hundred seventy-three million, six hundred thirty thousand, sixty-four".