7628235264 has 200 divisors, whose sum is σ = 24521412300. Its totient is φ = 2346983424.

The previous prime is 7628235247. The next prime is 7628235283. The reversal of 7628235264 is 4625328267.

It can be written as a sum of positive squares in 2 ways, for example, as 7589894400 + 38340864 = 87120^2 + 6192^2 .

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 19 ways as a sum of consecutive naturals, for example, 532062 + ... + 546210.

Almost surely, 2^7628235264 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 7628235264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12260706150).

7628235264 is an abundant number, since it is smaller than the sum of its proper divisors (16893177036).

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

7628235264 is a wasteful number, since it uses less digits than its factorization.

7628235264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14192 (or 14167 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 7628235264 is about 87339.7690860240. The cubic root of 7628235264 is about 1968.5269261264.

The spelling of 7628235264 in words is "seven billion, six hundred twenty-eight million, two hundred thirty-five thousand, two hundred sixty-four".