677149440 has 576 divisors, whose sum is σ = 2670216192. Its totient is φ = 144179200.

The previous prime is 677149409. The next prime is 677149453. The reversal of 677149440 is 44941776.

It is a junction number, because it is equal to n+sod(n) for n = 677149392 and 677149401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16515820 + ... + 16515860.

It is an arithmetic number, because the mean of its divisors is an integer number (4635792).

Almost surely, 2^677149440 is an apocalyptic number.

677149440 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 677149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335108096).

677149440 is an abundant number, since it is smaller than the sum of its proper divisors (1993066752).

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

677149440 is a wasteful number, since it uses less digits than its factorization.

677149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 677149440 is about 26022.0952269413. The cubic root of 677149440 is about 878.1354460918.

The spelling of 677149440 in words is "six hundred seventy-seven million, one hundred forty-nine thousand, four hundred forty".