4368610078560 has 2880 divisors, whose sum is σ = 20735200088064. Its totient is φ = 842495385600.

The previous prime is 4368610078537. The next prime is 4368610078577. The reversal of 4368610078560 is 658700168634.

4368610078560 is a `hidden beast` number, since 4 + 3 + 6 + 8 + 6 + 1 + 0 + 0 + 78 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4368610078497 and 4368610078506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 13198217595 + ... + 13198217925.

Almost surely, 2^{4368610078560} is an apocalyptic number.

4368610078560 is a gapful number since it is divisible by the number (40) 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 4368610078560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10367600044032).

4368610078560 is an abundant number, since it is smaller than the sum of its proper divisors (16366590009504).

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

4368610078560 is a wasteful number, since it uses less digits than its factorization.

4368610078560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4368610078560 in words is "four trillion, three hundred sixty-eight billion, six hundred ten million, seventy-eight thousand, five hundred sixty".