677109440 has 224 divisors, whose sum is σ = 1950720000. Its totient is φ = 223534080.

The previous prime is 677109343. The next prime is 677109451. The reversal of 677109440 is 44901776.

677109440 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 2×677109440² = 916954387474227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 677109394 and 677109403.

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, 3402461 + ... + 3402659.

Almost surely, 2^677109440 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 677109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975360000).

677109440 is an abundant number, since it is smaller than the sum of its proper divisors (1273610560).

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

677109440 is a wasteful number, since it uses less digits than its factorization.

677109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 677109440 is about 26021.3266379714. The cubic root of 677109440 is about 878.1181549261.

Adding to 677109440 its product of nonzero digits (42336), we get a palindrome (677151776).

The spelling of 677109440 in words is "six hundred seventy-seven million, one hundred nine thousand, four hundred forty".