7382016000 has 560 divisors, whose sum is σ = 27832095720. Its totient is φ = 1946419200.

The previous prime is 7382015969. The next prime is 7382016017. The reversal of 7382016000 is 6102837.

7382016000 is a `hidden beast` number, since 7 + 38 + 20 + 1 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1154912256 + 6227103744 = 33984^2 + 78912^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82943956 + ... + 82944044.

Almost surely, 2^7382016000 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 7382016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13916047860).

7382016000 is an abundant number, since it is smaller than the sum of its proper divisors (20450079720).

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

7382016000 is an frugal number, since it uses more digits than its factorization.

7382016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7382016000 is about 85918.6592074155. The cubic root of 7382016000 is about 1947.1152611839.

Adding to 7382016000 its reverse (6102837), we get a palindrome (7388118837).

The spelling of 7382016000 in words is "seven billion, three hundred eighty-two million, sixteen thousand".