677351771324928 has 1280 divisors, whose sum is σ = 2355064923340800. Its totient is φ = 188212118814720.

The previous prime is 677351771324923. The next prime is 677351771325007. The reversal of 677351771324928 is 829423177153776.

It is a happy number.

677351771324928 is a `hidden beast` number, since 6 + 7 + 7 + 3 + 51 + 77 + 13 + 2 + 492 + 8 = 666.

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 (677351771324923) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 788535239763 + ... + 788535240621.

It is an arithmetic number, because the mean of its divisors is an integer number (1839894471360).

Almost surely, 2^{677351771324928} 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 677351771324928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177532461670400).

677351771324928 is an abundant number, since it is smaller than the sum of its proper divisors (1677713152015872).

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

677351771324928 is a wasteful number, since it uses less digits than its factorization.

677351771324928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1816 counting only the distinct ones).

The product of its digits is 746807040, while the sum is 72.

The spelling of 677351771324928 in words is "six hundred seventy-seven trillion, three hundred fifty-one billion, seven hundred seventy-one million, three hundred twenty-four thousand, nine hundred twenty-eight".