7628232289608 has 288 divisors, whose sum is σ = 24724760238360. Its totient is φ = 2117201264640.

The previous prime is 7628232289577. The next prime is 7628232289651. The reversal of 7628232289608 is 8069822328267.

7628232289608 is a `hidden beast` number, since 7 + 62 + 8 + 232 + 289 + 60 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2163493857924 + 5464738431684 = 1470882^2 + 2337678^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33589816 + ... + 33816152.

Almost surely, 2^{7628232289608} 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 7628232289608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362380119180).

7628232289608 is an abundant number, since it is smaller than the sum of its proper divisors (17096527948752).

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

7628232289608 is a wasteful number, since it uses less digits than its factorization.

7628232289608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226637 (or 226623 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 7628232289608 in words is "seven trillion, six hundred twenty-eight billion, two hundred thirty-two million, two hundred eighty-nine thousand, six hundred eight".