677529323856 has 480 divisors, whose sum is σ = 2438799906816. Its totient is φ = 170501760000.

The previous prime is 677529323803. The next prime is 677529323879. The reversal of 677529323856 is 658323925776.

It is a happy number.

677529323856 is a `hidden beast` number, since 6 + 7 + 7 + 529 + 3 + 23 + 85 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 677529323793 and 677529323802.

It is a congruent number.

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, 45309181 + ... + 45324131.

Almost surely, 2^677529323856 is an apocalyptic number.

677529323856 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677529323856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219399953408).

677529323856 is an abundant number, since it is smaller than the sum of its proper divisors (1761270582960).

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

677529323856 is a wasteful number, since it uses less digits than its factorization.

677529323856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15111 (or 15102 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 63.

The spelling of 677529323856 in words is "six hundred seventy-seven billion, five hundred twenty-nine million, three hundred twenty-three thousand, eight hundred fifty-six".