7382920320 has 384 divisors, whose sum is σ = 26579404800. Its totient is φ = 1886330880.

The previous prime is 7382920313. The next prime is 7382920333. The reversal of 7382920320 is 230292837.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 30890761 + ... + 30890999.

It is an arithmetic number, because the mean of its divisors is an integer number (69217200).

Almost surely, 2^7382920320 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 7382920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13289702400).

7382920320 is an abundant number, since it is smaller than the sum of its proper divisors (19196484480).

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

7382920320 is a wasteful number, since it uses less digits than its factorization.

7382920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 453 counting only the distinct ones).

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

The square root of 7382920320 is about 85923.9216982093. The cubic root of 7382920320 is about 1947.1947671696.

It can be divided in two parts, 73829 and 20320, that added together give a palindrome (94149).

The spelling of 7382920320 in words is "seven billion, three hundred eighty-two million, nine hundred twenty thousand, three hundred twenty".