676874309760 has 1440 divisors, whose sum is σ = 2794383692100. Its totient is φ = 155835187200.

The previous prime is 676874309753. The next prime is 676874309779. The reversal of 676874309760 is 67903478676.

676874309760 is a `hidden beast` number, since 67 + 6 + 87 + 430 + 9 + 7 + 60 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10117141056 + 666757168704 = 100584^2 + 816552^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 11096300130 + ... + 11096300190.

Almost surely, 2^676874309760 is an apocalyptic number.

676874309760 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 676874309760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397191846050).

676874309760 is an abundant number, since it is smaller than the sum of its proper divisors (2117509382340).

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

676874309760 is a wasteful number, since it uses less digits than its factorization.

676874309760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 676874309760 in words is "six hundred seventy-six billion, eight hundred seventy-four million, three hundred nine thousand, seven hundred sixty".