7539920000 has 120 divisors (see below), whose sum is σ = 18831499335. Its totient is φ = 3006144000.

The previous prime is 7539919997. The next prime is 7539920027. The reversal of 7539920000 is 299357.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 1743229504 + 5796690496 = 41752^2 + 76136^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=61400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 24559847 + ... + 24560153.

Almost surely, 2^7539920000 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 7539920000

7539920000 is an abundant number, since it is smaller than the sum of its proper divisors (11291579335).

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

7539920000 is an frugal number, since it uses more digits than its factorization.

7539920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 35.

The square root of 7539920000 is about 86832.7127297080. The cubic root of 7539920000 is about 1960.9005995871.

The spelling of 7539920000 in words is "seven billion, five hundred thirty-nine million, nine hundred twenty thousand".