628781045760 has 1296 divisors, whose sum is σ = 2646186641280. Its totient is φ = 142968913920.

The previous prime is 628781045713. The next prime is 628781045777. The reversal of 628781045760 is 67540187826.

628781045760 is a `hidden beast` number, since 62 + 8 + 7 + 8 + 1 + 0 + 4 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a junction number, because it is equal to n+sod(n) for n = 628781045697 and 628781045706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3292047265 + ... + 3292047455.

It is an arithmetic number, because the mean of its divisors is an integer number (2041810680).

Almost surely, 2^628781045760 is an apocalyptic number.

628781045760 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 628781045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323093320640).

628781045760 is an abundant number, since it is smaller than the sum of its proper divisors (2017405595520).

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

628781045760 is an frugal number, since it uses more digits than its factorization.

628781045760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

Adding to 628781045760 its product of nonzero digits (4515840), we get a square (628785561600 = 792960²).

The spelling of 628781045760 in words is "six hundred twenty-eight billion, seven hundred eighty-one million, forty-five thousand, seven hundred sixty".