677120585021776 has 60 divisors (see below), whose sum is σ = 1531621770263508. Its totient is φ = 289146902639616.

The previous prime is 677120585021773. The next prime is 677120585021939.

It is a happy number.

677120585021776 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 264814564719376 + 412306020302400 = 16273124^2 + 20305320^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677120585021773) 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, 1558761561 + ... + 1559195896.

Almost surely, 2^{677120585021776} is an apocalyptic number.

It is an amenable number.

677120585021776 is an abundant number, since it is smaller than the sum of its proper divisors (854501185241732).

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

677120585021776 is a wasteful number, since it uses less digits than its factorization.

677120585021776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117957756 (or 3117957743 counting only the distinct ones).

The product of its (nonzero) digits is 69148800, while the sum is 64.

The spelling of 677120585021776 in words is "six hundred seventy-seven trillion, one hundred twenty billion, five hundred eighty-five million, twenty-one thousand, seven hundred seventy-six".