677546645776 has 240 divisors, whose sum is σ = 1777837600000. Its totient is φ = 243410365440.

The previous prime is 677546645723. The next prime is 677546645821.

677546645776 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246468850 + ... + 246471598.

Almost surely, 2^677546645776 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 677546645776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888918800000).

677546645776 is an abundant number, since it is smaller than the sum of its proper divisors (1100290954224).

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

677546645776 is a wasteful number, since it uses less digits than its factorization.

677546645776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4198 (or 4181 counting only the distinct ones).

The product of its digits is 1244678400, while the sum is 70.

The spelling of 677546645776 in words is "six hundred seventy-seven billion, five hundred forty-six million, six hundred forty-five thousand, seven hundred seventy-six".