7616842632 has 144 divisors (see below), whose sum is σ = 24053927040. Its totient is φ = 2171074752.

The previous prime is 7616842627. The next prime is 7616842661. The reversal of 7616842632 is 2362486167.

7616842632 is a `hidden beast` number, since 7 + 6 + 1 + 6 + 8 + 4 + 2 + 632 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1631133 + ... + 1635795.

It is an arithmetic number, because the mean of its divisors is an integer number (167041160).

Almost surely, 2^7616842632 is an apocalyptic number.

7616842632 is a gapful number since it is divisible by the number (72) 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 7616842632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12026963520).

7616842632 is an abundant number, since it is smaller than the sum of its proper divisors (16437084408).

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

7616842632 is a wasteful number, since it uses less digits than its factorization.

7616842632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5152 (or 5138 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 7616842632 is about 87274.5245303577. The cubic root of 7616842632 is about 1967.5464513520.

The spelling of 7616842632 in words is "seven billion, six hundred sixteen million, eight hundred forty-two thousand, six hundred thirty-two".