7381334016 has 288 divisors, whose sum is σ = 25655011200. Its totient is φ = 1997291520.

The previous prime is 7381334003. The next prime is 7381334027. The reversal of 7381334016 is 6104331837.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×7381334016³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2449951 + ... + 2452961.

It is an arithmetic number, because the mean of its divisors is an integer number (89079900).

Almost surely, 2^7381334016 is an apocalyptic number.

7381334016 is a gapful number since it is divisible by the number (76) 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 7381334016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12827505600).

7381334016 is an abundant number, since it is smaller than the sum of its proper divisors (18273677184).

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

7381334016 is a wasteful number, since it uses less digits than its factorization.

7381334016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3065 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7381334016 is about 85914.6903387308. The cubic root of 7381334016 is about 1947.0552982348.

The spelling of 7381334016 in words is "seven billion, three hundred eighty-one million, three hundred thirty-four thousand, sixteen".