30479211463680 has 616 divisors, whose sum is σ = 125281750235712. Its totient is φ = 6966670934016.

The previous prime is 30479211463577. The next prime is 30479211463709. The reversal of 30479211463680 is 8636411297403.

30479211463680 is a `hidden beast` number, since 3 + 0 + 4 + 7 + 92 + 11 + 463 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 55 ways as a sum of consecutive naturals, for example, 25544079 + ... + 26710641.

Almost surely, 2^{30479211463680} is an apocalyptic number.

30479211463680 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 30479211463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62640875117856).

30479211463680 is an abundant number, since it is smaller than the sum of its proper divisors (94802538772032).

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

30479211463680 is an equidigital number, since it uses as much as digits as its factorization.

30479211463680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166613 (or 1166580 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 30479211463680 in words is "thirty trillion, four hundred seventy-nine billion, two hundred eleven million, four hundred sixty-three thousand, six hundred eighty".