7632664340840 has 512 divisors, whose sum is σ = 22079960432640. Its totient is φ = 2305652428800.

The previous prime is 7632664340773. The next prime is 7632664340869. The reversal of 7632664340840 is 480434662367.

It is a happy number.

It is a super-3 number, since 3×7632664340840³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18129843830 + ... + 18129844250.

It is an arithmetic number, because the mean of its divisors is an integer number (43124922720).

Almost surely, 2^{7632664340840} is an apocalyptic number.

7632664340840 is a gapful number since it is divisible by the number (70) 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 7632664340840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11039980216320).

7632664340840 is an abundant number, since it is smaller than the sum of its proper divisors (14447296091800).

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

7632664340840 is a wasteful number, since it uses less digits than its factorization.

7632664340840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 53.

The spelling of 7632664340840 in words is "seven trillion, six hundred thirty-two billion, six hundred sixty-four million, three hundred forty thousand, eight hundred forty".