677466331600 has 60 divisors (see below), whose sum is σ = 1627694268940. Its totient is φ = 270972979200.

The previous prime is 677466331537. The next prime is 677466331603. The reversal of 677466331600 is 6133664776.

It can be written as a sum of positive squares in 6 ways, for example, as 44397861264 + 633068470336 = 210708^2 + 795656^2 .

It is a super-2 number, since 2×677466331600² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677466331603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12910216 + ... + 12962584.

Almost surely, 2^677466331600 is an apocalyptic number.

It is an amenable number.

677466331600 is an abundant number, since it is smaller than the sum of its proper divisors (950227937340).

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

677466331600 is a wasteful number, since it uses less digits than its factorization.

677466331600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84728 (or 84717 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 49.

The spelling of 677466331600 in words is "six hundred seventy-seven billion, four hundred sixty-six million, three hundred thirty-one thousand, six hundred".