677805974352 has 400 divisors, whose sum is σ = 2131671814272. Its totient is φ = 206691056640.

The previous prime is 677805974347. The next prime is 677805974359. The reversal of 677805974352 is 253479508776.

677805974352 is a `hidden beast` number, since 6 + 7 + 7 + 8 + 0 + 597 + 4 + 35 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 677805974352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677805974359) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1451404423 + ... + 1451404889.

Almost surely, 2^677805974352 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 677805974352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065835907136).

677805974352 is an abundant number, since it is smaller than the sum of its proper divisors (1453865839920).

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

677805974352 is a wasteful number, since it uses less digits than its factorization.

677805974352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 677805974352 in words is "six hundred seventy-seven billion, eight hundred five million, nine hundred seventy-four thousand, three hundred fifty-two".