7662827628 has 72 divisors (see below), whose sum is σ = 20011170816. Its totient is φ = 2469852000.

The previous prime is 7662827611. The next prime is 7662827651. The reversal of 7662827628 is 8267282667.

7662827628 is a `hidden beast` number, since 7 + 6 + 6 + 2 + 8 + 2 + 7 + 628 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1987903 + ... + 1991753.

It is an arithmetic number, because the mean of its divisors is an integer number (277932928).

Almost surely, 2^7662827628 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 7662827628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10005585408).

7662827628 is an abundant number, since it is smaller than the sum of its proper divisors (12348343188).

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

7662827628 is a wasteful number, since it uses less digits than its factorization.

7662827628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5675 (or 5670 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 7662827628 is about 87537.5783763750. The cubic root of 7662827628 is about 1971.4980512825.

The spelling of 7662827628 in words is "seven billion, six hundred sixty-two million, eight hundred twenty-seven thousand, six hundred twenty-eight".