677671632 has 360 divisors, whose sum is σ = 2315476800. Its totient is φ = 183997440.

The previous prime is 677671627. The next prime is 677671649. The reversal of 677671632 is 236176776.

677671632 is a `hidden beast` number, since 6 + 7 + 7 + 6 + 7 + 1 + 632 = 666.

Its product of digits (444528) is a multiple of the sum of its prime divisors (147).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7614244 + ... + 7614332.

It is an arithmetic number, because the mean of its divisors is an integer number (6431880).

Almost surely, 2^677671632 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 677671632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157738400).

677671632 is an abundant number, since it is smaller than the sum of its proper divisors (1637805168).

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

677671632 is a wasteful number, since it uses less digits than its factorization.

677671632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 147 counting only the distinct ones).

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

The square root of 677671632 is about 26032.1269204036. The cubic root of 677671632 is about 878.3611163574.

The spelling of 677671632 in words is "six hundred seventy-seven million, six hundred seventy-one thousand, six hundred thirty-two".