677816640 has 224 divisors, whose sum is σ = 2517648000. Its totient is φ = 171196416.

The previous prime is 677816627. The next prime is 677816641. The reversal of 677816640 is 46618776.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677816641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162096 + ... + 166224.

It is an arithmetic number, because the mean of its divisors is an integer number (11239500).

Almost surely, 2^677816640 is an apocalyptic number.

677816640 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 677816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258824000).

677816640 is an abundant number, since it is smaller than the sum of its proper divisors (1839831360).

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

677816640 is a wasteful number, since it uses less digits than its factorization.

677816640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4174 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 677816640 is about 26034.9119453091. The cubic root of 677816640 is about 878.4237623838.

The spelling of 677816640 in words is "six hundred seventy-seven million, eight hundred sixteen thousand, six hundred forty".