6006074360760 has 384 divisors, whose sum is σ = 20411562600000. Its totient is φ = 1529688416256.

The previous prime is 6006074360717. The next prime is 6006074360791. The reversal of 6006074360760 is 670634706006.

6006074360760 is a `hidden beast` number, since 6 + 0 + 0 + 607 + 4 + 36 + 0 + 7 + 6 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 749911636 + ... + 749919644.

Almost surely, 2^{6006074360760} is an apocalyptic number.

6006074360760 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 6006074360760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10205781300000).

6006074360760 is an abundant number, since it is smaller than the sum of its proper divisors (14405488239240).

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

6006074360760 is a wasteful number, since it uses less digits than its factorization.

6006074360760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8823 (or 8816 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 6006074360760 in words is "six trillion, six billion, seventy-four million, three hundred sixty thousand, seven hundred sixty".