8438238197760 has 384 divisors, whose sum is σ = 30871474583040. Its totient is φ = 1927542079488.

The previous prime is 8438238197737. The next prime is 8438238197771. The reversal of 8438238197760 is 677918328348.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 8438238197691 and 8438238197700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372652999 + ... + 372675641.

It is an arithmetic number, because the mean of its divisors is an integer number (80394465060).

Almost surely, 2^{8438238197760} is an apocalyptic number.

8438238197760 is a gapful number since it is divisible by the number (80) 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 8438238197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15435737291520).

8438238197760 is an abundant number, since it is smaller than the sum of its proper divisors (22433236385280).

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

8438238197760 is a wasteful number, since it uses less digits than its factorization.

8438238197760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24413 (or 24393 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 66.

The spelling of 8438238197760 in words is "eight trillion, four hundred thirty-eight billion, two hundred thirty-eight million, one hundred ninety-seven thousand, seven hundred sixty".