3063743242560 has 1008 divisors, whose sum is σ = 14226838704000. Its totient is φ = 587643863040.

The previous prime is 3063743242541. The next prime is 3063743242603. The reversal of 3063743242560 is 652423473603.

3063743242560 is a `hidden beast` number, since 3 + 0 + 6 + 3 + 7 + 43 + 2 + 42 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×3063743242560³ (a number of 38 digits) contains 333 as substring.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37436566 + ... + 37518314.

Almost surely, 2^{3063743242560} is an apocalyptic number.

3063743242560 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 3063743242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7113419352000).

3063743242560 is an abundant number, since it is smaller than the sum of its proper divisors (11163095461440).

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

3063743242560 is a wasteful number, since it uses less digits than its factorization.

3063743242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81816 (or 81790 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 45.

The spelling of 3063743242560 in words is "three trillion, sixty-three billion, seven hundred forty-three million, two hundred forty-two thousand, five hundred sixty".