6063133063680 has 2560 divisors, whose sum is σ = 28063289548800. Its totient is φ = 1203948748800.

The previous prime is 6063133063639. The next prime is 6063133063693. The reversal of 6063133063680 is 863603313606.

6063133063680 is a `hidden beast` number, since 6 + 0 + 6 + 3 + 1 + 3 + 3 + 0 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

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 255 ways as a sum of consecutive naturals, for example, 25158228360 + ... + 25158228600.

It is an arithmetic number, because the mean of its divisors is an integer number (10962222480).

Almost surely, 2^{6063133063680} is an apocalyptic number.

6063133063680 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 6063133063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14031644774400).

6063133063680 is an abundant number, since it is smaller than the sum of its proper divisors (22000156485120).

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

6063133063680 is a wasteful number, since it uses less digits than its factorization.

6063133063680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 6063133063680 in words is "six trillion, sixty-three billion, one hundred thirty-three million, sixty-three thousand, six hundred eighty".