7521989760 has 192 divisors, whose sum is σ = 26068868280. Its totient is φ = 1998569472.

The previous prime is 7521989737. The next prime is 7521989843. The reversal of 7521989760 is 679891257.

It can be written as a sum of positive squares in 4 ways, for example, as 7469107776 + 52881984 = 86424^2 + 7272^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 7521989697 and 7521989706.

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 23 ways as a sum of consecutive naturals, for example, 1685452 + ... + 1689908.

Almost surely, 2^7521989760 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 7521989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13034434140).

7521989760 is an abundant number, since it is smaller than the sum of its proper divisors (18546878520).

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

7521989760 is a wasteful number, since it uses less digits than its factorization.

7521989760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4775 (or 4760 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 7521989760 is about 86729.4053940185. The cubic root of 7521989760 is about 1959.3449984036.

The spelling of 7521989760 in words is "seven billion, five hundred twenty-one million, nine hundred eighty-nine thousand, seven hundred sixty".