7628640588 has 240 divisors, whose sum is σ = 22053034080. Its totient is φ = 2288756736.

The previous prime is 7628640583. The next prime is 7628640637. The reversal of 7628640588 is 8850468267.

7628640588 is a `hidden beast` number, since 7 + 628 + 6 + 4 + 0 + 5 + 8 + 8 = 666.

It is a super-3 number, since 3×7628640588³ (a number of 31 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (7628640583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26036170 + ... + 26036462.

It is an arithmetic number, because the mean of its divisors is an integer number (91887642).

Almost surely, 2^7628640588 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 7628640588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11026517040).

7628640588 is an abundant number, since it is smaller than the sum of its proper divisors (14424393492).

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

7628640588 is a wasteful number, since it uses less digits than its factorization.

7628640588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The square root of 7628640588 is about 87342.0894414600. The cubic root of 7628640588 is about 1968.5617912054.

The spelling of 7628640588 in words is "seven billion, six hundred twenty-eight million, six hundred forty thousand, five hundred eighty-eight".