628782654697344 has 1280 divisors, whose sum is σ = 2197737767808000. Its totient is φ = 178378488852480.

The previous prime is 628782654697343. The next prime is 628782654697357. The reversal of 628782654697344 is 443796456287826.

628782654697344 is a `hidden beast` number, since 6 + 2 + 8 + 7 + 8 + 26 + 546 + 9 + 7 + 3 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628782654697343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 459972680149 + ... + 459972681515.

It is an arithmetic number, because the mean of its divisors is an integer number (1716982631100).

Almost surely, 2^{628782654697344} is an apocalyptic number.

628782654697344 is a gapful number since it is divisible by the number (64) 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 628782654697344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098868883904000).

628782654697344 is an abundant number, since it is smaller than the sum of its proper divisors (1568955113110656).

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

628782654697344 is a wasteful number, since it uses less digits than its factorization.

628782654697344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2203 counting only the distinct ones).

The product of its digits is 23410114560, while the sum is 81.

The spelling of 628782654697344 in words is "six hundred twenty-eight trillion, seven hundred eighty-two billion, six hundred fifty-four million, six hundred ninety-seven thousand, three hundred forty-four".