5738628546816 has 576 divisors, whose sum is σ = 17740407767040. Its totient is φ = 1629660651520.

The previous prime is 5738628546803. The next prime is 5738628546817. The reversal of 5738628546816 is 6186458268375.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (5738628546817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4390686835 + ... + 4390688141.

It is an arithmetic number, because the mean of its divisors is an integer number (30799319040).

Almost surely, 2^{5738628546816} 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 5738628546816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8870203883520).

5738628546816 is an abundant number, since it is smaller than the sum of its proper divisors (12001779220224).

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

5738628546816 is a wasteful number, since it uses less digits than its factorization.

5738628546816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1788 counting only the distinct ones).

The product of its digits is 464486400, while the sum is 69.

The spelling of 5738628546816 in words is "five trillion, seven hundred thirty-eight billion, six hundred twenty-eight million, five hundred forty-six thousand, eight hundred sixteen".