30670820616540 has 576 divisors, whose sum is σ = 103756130150400. Its totient is φ = 6724431986688.

The previous prime is 30670820616539. The next prime is 30670820616581. The reversal of 30670820616540 is 4561602807603.

It is a self number, because there is not a number n which added to its sum of digits gives 30670820616540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3402949074 + ... + 3402958086.

It is an arithmetic number, because the mean of its divisors is an integer number (180132170400).

Almost surely, 2^{30670820616540} is an apocalyptic number.

30670820616540 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 30670820616540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51878065075200).

30670820616540 is an abundant number, since it is smaller than the sum of its proper divisors (73085309533860).

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

30670820616540 is a wasteful number, since it uses less digits than its factorization.

30670820616540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10126 (or 10111 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 30670820616540 in words is "thirty trillion, six hundred seventy billion, eight hundred twenty million, six hundred sixteen thousand, five hundred forty".