612064922844960 has 1344 divisors, whose sum is σ = 2487886222504032. Its totient is φ = 140895542181888.

The previous prime is 612064922844959. The next prime is 612064922845001. The reversal of 612064922844960 is 69448229460216.

612064922844960 is a `hidden beast` number, since 6 + 1 + 2 + 0 + 6 + 49 + 22 + 84 + 496 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 10824126320016 + 601240796524944 = 3290004^2 + 24520212^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4046982462 + ... + 4047133698.

Almost surely, 2^{612064922844960} is an apocalyptic number.

612064922844960 is a gapful number since it is divisible by the number (60) 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 612064922844960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243943111252016).

612064922844960 is an abundant number, since it is smaller than the sum of its proper divisors (1875821299659072).

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

612064922844960 is a wasteful number, since it uses less digits than its factorization.

612064922844960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151457 (or 151434 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 612064922844960 in words is "six hundred twelve trillion, sixty-four billion, nine hundred twenty-two million, eight hundred forty-four thousand, nine hundred sixty".