628222279680 has 960 divisors, whose sum is σ = 2384892357120. Its totient is φ = 156544008192.

The previous prime is 628222279673. The next prime is 628222279759. The reversal of 628222279680 is 86972222826.

628222279680 is a `hidden beast` number, since 628 + 2 + 2 + 2 + 2 + 7 + 9 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×628222279680² (a number of 24 digits) contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 2696232844 + ... + 2696233076.

It is an arithmetic number, because the mean of its divisors is an integer number (2484262872).

Almost surely, 2^628222279680 is an apocalyptic number.

628222279680 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 628222279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192446178560).

628222279680 is an abundant number, since it is smaller than the sum of its proper divisors (1756670077440).

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

628222279680 is a wasteful number, since it uses less digits than its factorization.

628222279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 628222279680 in words is "six hundred twenty-eight billion, two hundred twenty-two million, two hundred seventy-nine thousand, six hundred eighty".