677352127104 has 96 divisors (see below), whose sum is σ = 1968450169140. Its totient is φ = 223548518400.

The previous prime is 677352127103. The next prime is 677352127117. The reversal of 677352127104 is 401721253776.

677352127104 is a `hidden beast` number, since 6 + 77 + 352 + 127 + 104 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 656994544704 + 20357582400 = 810552^2 + 142680^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 677352127104.

It is not an unprimeable number, because it can be changed into a prime (677352127103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2794437 + ... + 3027140.

Almost surely, 2^677352127104 is an apocalyptic number.

677352127104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

677352127104 is an abundant number, since it is smaller than the sum of its proper divisors (1291098042036).

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

677352127104 is a wasteful number, since it uses less digits than its factorization.

677352127104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5821698 (or 5821683 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 677352127104 in words is "six hundred seventy-seven billion, three hundred fifty-two million, one hundred twenty-seven thousand, one hundred four".