677898625600 has 252 divisors, whose sum is σ = 1969857855552. Its totient is φ = 224921318400.

The previous prime is 677898625559. The next prime is 677898625753. The reversal of 677898625600 is 6526898776.

It is a Harshad number since it is a multiple of its sum of digits (64).

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 35 ways as a sum of consecutive naturals, for example, 10731709 + ... + 10794691.

Almost surely, 2^677898625600 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 677898625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984928927776).

677898625600 is an abundant number, since it is smaller than the sum of its proper divisors (1291959229952).

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

677898625600 is a wasteful number, since it uses less digits than its factorization.

677898625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63074 (or 63028 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 64.

The spelling of 677898625600 in words is "six hundred seventy-seven billion, eight hundred ninety-eight million, six hundred twenty-five thousand, six hundred".