677455114752 has 400 divisors, whose sum is σ = 2236484506872. Its totient is φ = 202808033280.

The previous prime is 677455114709. The next prime is 677455114793. The reversal of 677455114752 is 257411554776.

677455114752 is a `hidden beast` number, since 6 + 7 + 7 + 4 + 551 + 14 + 75 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 434776709376 + 242678405376 = 659376^2 + 492624^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 19931052 + ... + 19965012.

Almost surely, 2^677455114752 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 677455114752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118242253436).

677455114752 is an abundant number, since it is smaller than the sum of its proper divisors (1559029392120).

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

677455114752 is a wasteful number, since it uses less digits than its factorization.

677455114752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34041 (or 34016 counting only the distinct ones).

The product of its digits is 8232000, while the sum is 54.

The spelling of 677455114752 in words is "six hundred seventy-seven billion, four hundred fifty-five million, one hundred fourteen thousand, seven hundred fifty-two".