60676090675200 has 7560 divisors, whose sum is σ = 318950971300080. Its totient is φ = 11236854988800.

The previous prime is 60676090675199. The next prime is 60676090675217. The reversal of 60676090675200 is 257609067606.

60676090675200 is a `hidden beast` number, since 6 + 0 + 6 + 7 + 609 + 0 + 6 + 7 + 5 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 2092278988786 + ... + 2092278988814.

It is an arithmetic number, because the mean of its divisors is an integer number (42189281918).

Almost surely, 2^{60676090675200} is an apocalyptic number.

60676090675200 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 60676090675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159475485650040).

60676090675200 is an abundant number, since it is smaller than the sum of its proper divisors (258274880624880).

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

60676090675200 is a wasteful number, since it uses less digits than its factorization.

60676090675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 60676090675200 in words is "sixty trillion, six hundred seventy-six billion, ninety million, six hundred seventy-five thousand, two hundred".