6080180745600 has 1152 divisors, whose sum is σ = 23801212562400. Its totient is φ = 1468891791360.

The previous prime is 6080180745571. The next prime is 6080180745629. The reversal of 6080180745600 is 65470810806.

It is a happy number.

6080180745600 is a `hidden beast` number, since 6 + 0 + 8 + 0 + 1 + 80 + 7 + 4 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6080180745571) and next prime (6080180745629).

It is a tau number, because it is divible by the number of its divisors (1152).

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7352092387 + ... + 7352093213.

Almost surely, 2^{6080180745600} is an apocalyptic number.

6080180745600 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 6080180745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11900606281200).

6080180745600 is an abundant number, since it is smaller than the sum of its proper divisors (17721031816800).

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

6080180745600 is a wasteful number, since it uses less digits than its factorization.

6080180745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 6080180745600 in words is "six trillion, eighty billion, one hundred eighty million, seven hundred forty-five thousand, six hundred".