7385394816 has 192 divisors, whose sum is σ = 21963094920. Its totient is φ = 2380824576.

The previous prime is 7385394811. The next prime is 7385394853. The reversal of 7385394816 is 6184935837.

It can be written as a sum of positive squares in 4 ways, for example, as 6576561216 + 808833600 = 81096^2 + 28440^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (7385394811) 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 23 ways as a sum of consecutive naturals, for example, 4456260 + ... + 4457916.

Almost surely, 2^7385394816 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 7385394816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10981547460).

7385394816 is an abundant number, since it is smaller than the sum of its proper divisors (14577700104).

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

7385394816 is a wasteful number, since it uses less digits than its factorization.

7385394816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1788 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 7385394816 is about 85938.3198346349. The cubic root of 7385394816 is about 1947.4122866715.

The spelling of 7385394816 in words is "seven billion, three hundred eighty-five million, three hundred ninety-four thousand, eight hundred sixteen".