677127011778180 has 36 divisors (see below), whose sum is σ = 2053951935727692. Its totient is φ = 180567203140800.

The previous prime is 677127011778179. The next prime is 677127011778209. The reversal of 677127011778180 is 81877110721776.

677127011778180 is a `hidden beast` number, since 6 + 7 + 7 + 1 + 270 + 117 + 78 + 180 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 207709375839876 + 469417635938304 = 14412126^2 + 21666048^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×677127011778180² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1880908365871 + ... + 1880908366230.

Almost surely, 2^{677127011778180} is an apocalyptic number.

677127011778180 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

677127011778180 is an abundant number, since it is smaller than the sum of its proper divisors (1376824923949512).

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

677127011778180 is a wasteful number, since it uses less digits than its factorization.

677127011778180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3761816732116 (or 3761816732111 counting only the distinct ones).

The product of its (nonzero) digits is 12907776, while the sum is 63.

The spelling of 677127011778180 in words is "six hundred seventy-seven trillion, one hundred twenty-seven billion, eleven million, seven hundred seventy-eight thousand, one hundred eighty".