628640318016 has 252 divisors, whose sum is σ = 1870460192016. Its totient is φ = 201853509120.

The previous prime is 628640318011. The next prime is 628640318023. The reversal of 628640318016 is 610813046826.

628640318016 is a `hidden beast` number, since 6 + 286 + 40 + 318 + 0 + 16 = 666.

It is a super-2 number, since 2×628640318016² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (628640318011) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 125650171 + ... + 125655173.

Almost surely, 2^628640318016 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 628640318016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935230096008).

628640318016 is an abundant number, since it is smaller than the sum of its proper divisors (1241819874000).

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

628640318016 is a wasteful number, since it uses less digits than its factorization.

628640318016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5310 (or 5266 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 628640318016 in words is "six hundred twenty-eight billion, six hundred forty million, three hundred eighteen thousand, sixteen".