7385361984 has 336 divisors, whose sum is σ = 28424672640. Its totient is φ = 1770577920.

The previous prime is 7385361983. The next prime is 7385362007. The reversal of 7385361984 is 4891635837.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 7385361984.

It is not an unprimeable number, because it can be changed into a prime (7385361983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 570172 + ... + 582980.

It is an arithmetic number, because the mean of its divisors is an integer number (84597240).

Almost surely, 2^7385361984 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 7385361984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14212336320).

7385361984 is an abundant number, since it is smaller than the sum of its proper divisors (21039310656).

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

7385361984 is a wasteful number, since it uses less digits than its factorization.

7385361984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12858 (or 12845 counting only the distinct ones).

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

The square root of 7385361984 is about 85938.1288136995. The cubic root of 7385361984 is about 1947.4094009068.

The spelling of 7385361984 in words is "seven billion, three hundred eighty-five million, three hundred sixty-one thousand, nine hundred eighty-four".