627784416 has 144 divisors (see below), whose sum is σ = 2056096224. Its totient is φ = 177979392.

The previous prime is 627784411. The next prime is 627784427. The reversal of 627784416 is 614487726.

627784416 is a `hidden beast` number, since 627 + 7 + 8 + 4 + 4 + 16 = 666.

627784416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×627784416² = 788226545944922112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (627784411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275056 + ... + 277328.

It is an arithmetic number, because the mean of its divisors is an integer number (14278446).

Almost surely, 2^627784416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 627784416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028048112).

627784416 is an abundant number, since it is smaller than the sum of its proper divisors (1428311808).

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

627784416 is a wasteful number, since it uses less digits than its factorization.

627784416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2422 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 627784416 is about 25055.6264339968. The cubic root of 627784416 is about 856.2557683310.

The spelling of 627784416 in words is "six hundred twenty-seven million, seven hundred eighty-four thousand, four hundred sixteen".