677363313312 has 216 divisors, whose sum is σ = 2301304401396. Its totient is φ = 188301625344.

The previous prime is 677363313247. The next prime is 677363313313. The reversal of 677363313312 is 213313363776.

677363313312 is a `hidden beast` number, since 6 + 7 + 7 + 3 + 633 + 1 + 3 + 3 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 582895602576 + 94467710736 = 763476^2 + 307356^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (677363313313) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 126493 + ... + 1170780.

Almost surely, 2^677363313312 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 677363313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150652200698).

677363313312 is an abundant number, since it is smaller than the sum of its proper divisors (1623941088084).

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

677363313312 is a wasteful number, since it uses less digits than its factorization.

677363313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297340 (or 1297322 counting only the distinct ones).

The product of its digits is 857304, while the sum is 45.

The spelling of 677363313312 in words is "six hundred seventy-seven billion, three hundred sixty-three million, three hundred thirteen thousand, three hundred twelve".