677225669120 has 960 divisors, whose sum is σ = 2270950007040. Its totient is φ = 187858944000.

The previous prime is 677225669077. The next prime is 677225669143. The reversal of 677225669120 is 21966522776.

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, 966084770 + ... + 966085470.

It is an arithmetic number, because the mean of its divisors is an integer number (2365572924).

Almost surely, 2^677225669120 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 677225669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135475003520).

677225669120 is an abundant number, since it is smaller than the sum of its proper divisors (1593724337920).

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

677225669120 is a wasteful number, since it uses less digits than its factorization.

677225669120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 53.

The spelling of 677225669120 in words is "six hundred seventy-seven billion, two hundred twenty-five million, six hundred sixty-nine thousand, one hundred twenty".