677327616 has 144 divisors (see below), whose sum is σ = 2289280000. Its totient is φ = 193508352.

The previous prime is 677327597. The next prime is 677327633. The reversal of 677327616 is 616723776.

677327616 is a `hidden beast` number, since 6 + 7 + 7 + 3 + 27 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41385 + ... + 55383.

Almost surely, 2^677327616 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 677327616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144640000).

677327616 is an abundant number, since it is smaller than the sum of its proper divisors (1611952384).

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

677327616 is a wasteful number, since it uses less digits than its factorization.

677327616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14031 (or 14011 counting only the distinct ones).

The product of its digits is 444528, while the sum is 45.

The square root of 677327616 is about 26025.5185539117. The cubic root of 677327616 is about 878.2124595893.

The spelling of 677327616 in words is "six hundred seventy-seven million, three hundred twenty-seven thousand, six hundred sixteen".