677425851648 has 1296 divisors, whose sum is σ = 2589277716480. Its totient is φ = 166295420928.

The previous prime is 677425851643. The next prime is 677425851649. The reversal of 677425851648 is 846158524776.

677425851648 is a `hidden beast` number, since 6 + 7 + 7 + 4 + 2 + 585 + 1 + 6 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677425851643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5334061761 + ... + 5334061887.

Almost surely, 2^677425851648 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 677425851648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294638858240).

677425851648 is an abundant number, since it is smaller than the sum of its proper divisors (1911851864832).

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

677425851648 is a wasteful number, since it uses less digits than its factorization.

677425851648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 274 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 63.

The spelling of 677425851648 in words is "six hundred seventy-seven billion, four hundred twenty-five million, eight hundred fifty-one thousand, six hundred forty-eight".