7638731203180 has 96 divisors (see below), whose sum is σ = 20010811161600. Its totient is φ = 2379567041280.

The previous prime is 7638731203157. The next prime is 7638731203189. The reversal of 7638731203180 is 813021378367.

It is a super-2 number, since 2×7638731203180² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7638731203189) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1354846 + ... + 4136794.

It is an arithmetic number, because the mean of its divisors is an integer number (208445949600).

Almost surely, 2^{7638731203180} is an apocalyptic number.

7638731203180 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 7638731203180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10005405580800).

7638731203180 is an abundant number, since it is smaller than the sum of its proper divisors (12372079958420).

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

7638731203180 is a wasteful number, since it uses less digits than its factorization.

7638731203180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783759 (or 2783757 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

The spelling of 7638731203180 in words is "seven trillion, six hundred thirty-eight billion, seven hundred thirty-one million, two hundred three thousand, one hundred eighty".