677065690080 has 1344 divisors, whose sum is σ = 2765289300480. Its totient is φ = 155196518400.

The previous prime is 677065690051. The next prime is 677065690097. The reversal of 677065690080 is 80096560776.

It is a happy number.

677065690080 is a `hidden beast` number, since 6 + 7 + 70 + 6 + 569 + 0 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×677065690080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 677065689999 and 677065690026.

It is a congruent number.

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 223 ways as a sum of consecutive naturals, for example, 2045515515 + ... + 2045515845.

It is an arithmetic number, because the mean of its divisors is an integer number (2057506920).

Almost surely, 2^677065690080 is an apocalyptic number.

677065690080 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 677065690080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382644650240).

677065690080 is an abundant number, since it is smaller than the sum of its proper divisors (2088223610400).

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

677065690080 is a wasteful number, since it uses less digits than its factorization.

677065690080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 677065690080 in words is "six hundred seventy-seven billion, sixty-five million, six hundred ninety thousand, eighty".