6538742332416 has 264 divisors, whose sum is σ = 21732952492160. Its totient is φ = 1854769176576.

The previous prime is 6538742332387. The next prime is 6538742332481. The reversal of 6538742332416 is 6142332478356.

6538742332416 is a `hidden beast` number, since 6 + 5 + 387 + 4 + 233 + 24 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8602575 + ... + 9331761.

Almost surely, 2^{6538742332416} 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 6538742332416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10866476246080).

6538742332416 is an abundant number, since it is smaller than the sum of its proper divisors (15194210159744).

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

6538742332416 is a wasteful number, since it uses less digits than its factorization.

6538742332416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729359 (or 729338 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 6538742332416 in words is "six trillion, five hundred thirty-eight billion, seven hundred forty-two million, three hundred thirty-two thousand, four hundred sixteen".