628658993664 has 640 divisors, whose sum is σ = 2136475756800. Its totient is φ = 183172202496.

The previous prime is 628658993659. The next prime is 628658993689. The reversal of 628658993664 is 466399856826.

628658993664 is a `hidden beast` number, since 6 + 2 + 8 + 6 + 589 + 9 + 36 + 6 + 4 = 666.

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 = 628658993592 and 628658993601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 276575632 + ... + 276577904.

It is an arithmetic number, because the mean of its divisors is an integer number (3338243370).

Almost surely, 2^628658993664 is an apocalyptic number.

628658993664 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 628658993664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068237878400).

628658993664 is an abundant number, since it is smaller than the sum of its proper divisors (1507816763136).

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

628658993664 is an equidigital number, since it uses as much as digits as its factorization.

628658993664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2310 counting only the distinct ones).

The product of its digits is 806215680, while the sum is 72.

The spelling of 628658993664 in words is "six hundred twenty-eight billion, six hundred fifty-eight million, nine hundred ninety-three thousand, six hundred sixty-four".