677369372160 has 640 divisors, whose sum is σ = 2374363031040. Its totient is φ = 163743399936.

The previous prime is 677369372129. The next prime is 677369372209. The reversal of 677369372160 is 61273963776.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 677369372160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1741309246 + ... + 1741309634.

It is an arithmetic number, because the mean of its divisors is an integer number (3709942236).

Almost surely, 2^677369372160 is an apocalyptic number.

677369372160 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 677369372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187181515520).

677369372160 is an abundant number, since it is smaller than the sum of its proper divisors (1696993658880).

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

677369372160 is a wasteful number, since it uses less digits than its factorization.

677369372160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 12002256, while the sum is 57.

The spelling of 677369372160 in words is "six hundred seventy-seven billion, three hundred sixty-nine million, three hundred seventy-two thousand, one hundred sixty".