30979671972480 has 4000 divisors, whose sum is σ = 150322207295700. Its totient is φ = 6058667704320.

The previous prime is 30979671972443. The next prime is 30979671972527. The reversal of 30979671972480 is 8427917697903.

30979671972480 is a `hidden beast` number, since 3 + 0 + 9 + 7 + 9 + 6 + 71 + 9 + 72 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30797438607936 + 182233364544 = 5549544^2 + 426888^2 .

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 = 30979671972399 and 30979671972408.

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 499 ways as a sum of consecutive naturals, for example, 1822333645432 + ... + 1822333645448.

Almost surely, 2^{30979671972480} is an apocalyptic number.

30979671972480 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 30979671972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75161103647850).

30979671972480 is an abundant number, since it is smaller than the sum of its proper divisors (119342535323220).

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

30979671972480 is an frugal number, since it uses more digits than its factorization.

30979671972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 288054144, while the sum is 72.

It can be divided in two parts, 309796 and 71972480, that added together give a triangular number (72282276 = T₁₂₀₂₃).

The spelling of 30979671972480 in words is "thirty trillion, nine hundred seventy-nine billion, six hundred seventy-one million, nine hundred seventy-two thousand, four hundred eighty".