677158645680 has 1200 divisors, whose sum is σ = 2809958722560. Its totient is φ = 149317862400.

The previous prime is 677158645637. The next prime is 677158645763. The reversal of 677158645680 is 86546851776.

677158645680 is a `hidden beast` number, since 6 + 7 + 7 + 1 + 5 + 8 + 64 + 568 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5331957777 + ... + 5331957903.

Almost surely, 2^677158645680 is an apocalyptic number.

677158645680 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 677158645680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404979361280).

677158645680 is an abundant number, since it is smaller than the sum of its proper divisors (2132800076880).

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

677158645680 is a wasteful number, since it uses less digits than its factorization.

677158645680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 677158645680 in words is "six hundred seventy-seven billion, one hundred fifty-eight million, six hundred forty-five thousand, six hundred eighty".