7536481920 has 512 divisors, whose sum is σ = 30081024000. Its totient is φ = 1766707200.

The previous prime is 7536481873. The next prime is 7536481949. The reversal of 7536481920 is 291846357.

7536481920 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

7536481920 is strictly pandigital in base 10.

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 63 ways as a sum of consecutive naturals, for example, 5891841 + ... + 5893119.

It is an arithmetic number, because the mean of its divisors is an integer number (58752000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅7536481920 = 15072963840, but 3⋅7536481920 = 22609445760 is not.

Almost surely, 2^7536481920 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 7536481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15040512000).

7536481920 is an abundant number, since it is smaller than the sum of its proper divisors (22544542080).

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

7536481920 is a wasteful number, since it uses less digits than its factorization.

7536481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7536481920 is about 86812.9133251500. The cubic root of 7536481920 is about 1960.6025080910.

The spelling of 7536481920 in words is "seven billion, five hundred thirty-six million, four hundred eighty-one thousand, nine hundred twenty".