7632638805000 has 640 divisors, whose sum is σ = 27230611415040. Its totient is φ = 1765344000000.

The previous prime is 7632638804963. The next prime is 7632638805053. The reversal of 7632638805000 is 5088362367.

It is a super-3 number, since 3×7632638805000³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 363154492 + ... + 363175508.

It is an arithmetic number, because the mean of its divisors is an integer number (42547830336).

Almost surely, 2^{7632638805000} 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 7632638805000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13615305707520).

7632638805000 is an abundant number, since it is smaller than the sum of its proper divisors (19597972610040).

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

7632638805000 is a wasteful number, since it uses less digits than its factorization.

7632638805000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21159 (or 21140 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 7632638805000 in words is "seven trillion, six hundred thirty-two billion, six hundred thirty-eight million, eight hundred five thousand".