677920098629760 has 1024 divisors, whose sum is σ = 2624048378265600. Its totient is φ = 145417918464000.

The previous prime is 677920098629759. The next prime is 677920098629783. The reversal of 677920098629760 is 67926890029776.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19101165615 + ... + 19101201105.

It is an arithmetic number, because the mean of its divisors is an integer number (2562547244400).

Almost surely, 2^{677920098629760} is an apocalyptic number.

677920098629760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677920098629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312024189132800).

677920098629760 is an abundant number, since it is smaller than the sum of its proper divisors (1946128279635840).

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

677920098629760 is a wasteful number, since it uses less digits than its factorization.

677920098629760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36241 (or 36229 counting only the distinct ones).

The product of its (nonzero) digits is 1728324864, while the sum is 78.

The spelling of 677920098629760 in words is "six hundred seventy-seven trillion, nine hundred twenty billion, ninety-eight million, six hundred twenty-nine thousand, seven hundred sixty".