677309863776 has 768 divisors, whose sum is σ = 2341377239040. Its totient is φ = 166657720320.

The previous prime is 677309863771. The next prime is 677309863793. The reversal of 677309863776 is 677368903776.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 677309863776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677309863771) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 980187591 + ... + 980188281.

It is an arithmetic number, because the mean of its divisors is an integer number (3048668280).

Almost surely, 2^677309863776 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 677309863776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170688619520).

677309863776 is an abundant number, since it is smaller than the sum of its proper divisors (1664067375264).

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

677309863776 is a wasteful number, since it uses less digits than its factorization.

677309863776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 336063168, while the sum is 69.

The spelling of 677309863776 in words is "six hundred seventy-seven billion, three hundred nine million, eight hundred sixty-three thousand, seven hundred seventy-six".