677842097280 has 256 divisors, whose sum is σ = 2215808179200. Its totient is φ = 176150937600.

The previous prime is 677842097263. The next prime is 677842097291. The reversal of 677842097280 is 82790248776.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78007176 + ... + 78015864.

It is an arithmetic number, because the mean of its divisors is an integer number (8655500700).

Almost surely, 2^677842097280 is an apocalyptic number.

677842097280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677842097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107904089600).

677842097280 is an abundant number, since it is smaller than the sum of its proper divisors (1537966081920).

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

677842097280 is a wasteful number, since it uses less digits than its factorization.

677842097280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9743 (or 9731 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 60.

The spelling of 677842097280 in words is "six hundred seventy-seven billion, eight hundred forty-two million, ninety-seven thousand, two hundred eighty".