677727727776 has 144 divisors (see below), whose sum is σ = 2226172673088. Its totient is φ = 193291315200.

The previous prime is 677727727753. The next prime is 677727727799.

677727727776 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (677727727753) and next prime (677727727799).

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

It is a Harshad number since it is a multiple of its sum of digits (72).

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 23 ways as a sum of consecutive naturals, for example, 6238180 + ... + 6345891.

It is an arithmetic number, because the mean of its divisors is an integer number (15459532452).

Almost surely, 2^677727727776 is an apocalyptic number.

677727727776 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

677727727776 is an abundant number, since it is smaller than the sum of its proper divisors (1548444945312).

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

677727727776 is a wasteful number, since it uses less digits than its factorization.

677727727776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12584115 (or 12584104 counting only the distinct ones).

The product of its digits is 830131344, while the sum is 72.

The spelling of 677727727776 in words is "six hundred seventy-seven billion, seven hundred twenty-seven million, seven hundred twenty-seven thousand, seven hundred seventy-six".