6335812042560 has 2240 divisors, whose sum is σ = 30542188368384. Its totient is φ = 1203948748800.

The previous prime is 6335812042559. The next prime is 6335812042619. The reversal of 6335812042560 is 652402185336.

6335812042560 is a `hidden beast` number, since 6 + 3 + 3 + 5 + 81 + 2 + 0 + 4 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2931887880 + ... + 2931890040.

Almost surely, 2^{6335812042560} is an apocalyptic number.

6335812042560 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 6335812042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15271094184192).

6335812042560 is an abundant number, since it is smaller than the sum of its proper divisors (24206376325824).

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

6335812042560 is a wasteful number, since it uses less digits than its factorization.

6335812042560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

It can be divided in two parts, 633581 and 2042560, that added together give a triangular number (2676141 = T₂₃₁₃).

The spelling of 6335812042560 in words is "six trillion, three hundred thirty-five billion, eight hundred twelve million, forty-two thousand, five hundred sixty".