677676085400000 has 168 divisors, whose sum is σ = 1680968182056912. Its totient is φ = 271050854400000.

The previous prime is 677676085399961. The next prime is 677676085400003. The reversal of 677676085400000 is 4580676776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677676085400003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2946084992 + ... + 2946315008.

It is an arithmetic number, because the mean of its divisors is an integer number (10005762988434).

Almost surely, 2^{677676085400000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677676085400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840484091028456).

677676085400000 is an abundant number, since it is smaller than the sum of its proper divisors (1003292096656912).

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

677676085400000 is an equidigital number, since it uses as much as digits as its factorization.

677676085400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244785 (or 244755 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 56.

The spelling of 677676085400000 in words is "six hundred seventy-seven trillion, six hundred seventy-six billion, eighty-five million, four hundred thousand".