677005544520 has 384 divisors, whose sum is σ = 2349992736000. Its totient is φ = 168441200640.

The previous prime is 677005544437. The next prime is 677005544561. The reversal of 677005544520 is 25445500776.

677005544520 is a `hidden beast` number, since 6 + 7 + 70 + 0 + 5 + 54 + 4 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 448050565 + ... + 448052075.

It is an arithmetic number, because the mean of its divisors is an integer number (6119772750).

Almost surely, 2^677005544520 is an apocalyptic number.

677005544520 is a gapful number since it is divisible by the number (60) 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 677005544520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174996368000).

677005544520 is an abundant number, since it is smaller than the sum of its proper divisors (1672987191480).

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

677005544520 is a wasteful number, since it uses less digits than its factorization.

677005544520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 677005544520 in words is "six hundred seventy-seven billion, five million, five hundred forty-four thousand, five hundred twenty".