677329126890912 has 72 divisors (see below), whose sum is σ = 1926157315966884. Its totient is φ = 225776069535744.

The previous prime is 677329126890881. The next prime is 677329126890917. The reversal of 677329126890912 is 219098621923776.

677329126890912 is a `hidden beast` number, since 6 + 7 + 7 + 329 + 126 + 8 + 90 + 91 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 493280724085776 + 184048402805136 = 22209924^2 + 13566444^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×677329126890912² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (677329126890917) 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, 332665608 + ... + 334695480.

Almost surely, 2^{677329126890912} is an apocalyptic number.

It is an amenable number.

677329126890912 is an abundant number, since it is smaller than the sum of its proper divisors (1248828189075972).

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

677329126890912 is a wasteful number, since it uses less digits than its factorization.

677329126890912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188502 (or 3188491 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 677329126890912 in words is "six hundred seventy-seven trillion, three hundred twenty-nine billion, one hundred twenty-six million, eight hundred ninety thousand, nine hundred twelve".