677027472 has 80 divisors (see below), whose sum is σ = 1932257280. Its totient is φ = 202550400.

The previous prime is 677027467. The next prime is 677027473. The reversal of 677027472 is 274720776.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (677027473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33597 + ... + 49827.

It is an arithmetic number, because the mean of its divisors is an integer number (24153216).

Almost surely, 2^677027472 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 677027472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966128640).

677027472 is an abundant number, since it is smaller than the sum of its proper divisors (1255229808).

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

677027472 is a wasteful number, since it uses less digits than its factorization.

677027472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16332 (or 16326 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 42.

The square root of 677027472 is about 26019.7515745251. The cubic root of 677027472 is about 878.0827197417.

The spelling of 677027472 in words is "six hundred seventy-seven million, twenty-seven thousand, four hundred seventy-two".