677585591136 has 144 divisors (see below), whose sum is σ = 1995456481200. Its totient is φ = 217840702464.

The previous prime is 677585591119. The next prime is 677585591141. The reversal of 677585591136 is 631195585776.

677585591136 is a `hidden beast` number, since 6 + 7 + 7 + 5 + 8 + 5 + 591 + 1 + 36 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7866510 + ... + 7952178.

It is an arithmetic number, because the mean of its divisors is an integer number (13857336675).

Almost surely, 2^677585591136 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 677585591136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997728240600).

677585591136 is an abundant number, since it is smaller than the sum of its proper divisors (1317870890064).

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

677585591136 is a wasteful number, since it uses less digits than its factorization.

677585591136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86661 (or 86650 counting only the distinct ones).

The product of its digits is 47628000, while the sum is 63.

The spelling of 677585591136 in words is "six hundred seventy-seven billion, five hundred eighty-five million, five hundred ninety-one thousand, one hundred thirty-six".