677376802080 has 576 divisors, whose sum is σ = 2674355419008. Its totient is φ = 154302382080.

The previous prime is 677376802031. The next prime is 677376802099. The reversal of 677376802080 is 80208673776.

677376802080 is a `hidden beast` number, since 67 + 7 + 376 + 8 + 0 + 208 + 0 = 666.

It is a super-2 number, since 2×677376802080² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 203843299 + ... + 203846621.

It is an arithmetic number, because the mean of its divisors is an integer number (4642978158).

Almost surely, 2^677376802080 is an apocalyptic number.

677376802080 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 677376802080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337177709504).

677376802080 is an abundant number, since it is smaller than the sum of its proper divisors (1996978616928).

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

677376802080 is a wasteful number, since it uses less digits than its factorization.

677376802080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4129 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 677376802080 in words is "six hundred seventy-seven billion, three hundred seventy-six million, eight hundred two thousand, eighty".