677888565480 has 1152 divisors, whose sum is σ = 2740363591680. Its totient is φ = 144667192320.

The previous prime is 677888565451. The next prime is 677888565481. The reversal of 677888565480 is 84565888776.

677888565480 is a `hidden beast` number, since 6 + 7 + 7 + 8 + 8 + 85 + 65 + 480 = 666.

677888565480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 677888565399 and 677888565408.

It is not an unprimeable number, because it can be changed into a prime (677888565481) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2986293127 + ... + 2986293353.

It is an arithmetic number, because the mean of its divisors is an integer number (2378787840).

Almost surely, 2^677888565480 is an apocalyptic number.

677888565480 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 677888565480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370181795840).

677888565480 is an abundant number, since it is smaller than the sum of its proper divisors (2062475026200).

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

677888565480 is a wasteful number, since it uses less digits than its factorization.

677888565480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 722534400, while the sum is 72.

The spelling of 677888565480 in words is "six hundred seventy-seven billion, eight hundred eighty-eight million, five hundred sixty-five thousand, four hundred eighty".