677359424 has 224 divisors, whose sum is σ = 1779056640. Its totient is φ = 248832000.

The previous prime is 677359411. The next prime is 677359427. The reversal of 677359424 is 424953776.

677359424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×677359424² = 917631578563223552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677359427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4485749 + ... + 4485899.

Almost surely, 2^677359424 is an apocalyptic number.

677359424 is a gapful number since it is divisible by the number (64) 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 677359424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889528320).

677359424 is an abundant number, since it is smaller than the sum of its proper divisors (1101697216).

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

677359424 is a wasteful number, since it uses less digits than its factorization.

677359424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 227 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 47.

The square root of 677359424 is about 26026.1296392683. The cubic root of 677359424 is about 878.2262066269.

The spelling of 677359424 in words is "six hundred seventy-seven million, three hundred fifty-nine thousand, four hundred twenty-four".