7538609760 has 576 divisors, whose sum is σ = 27799511040. Its totient is φ = 1713254400.

The previous prime is 7538609759. The next prime is 7538609777. The reversal of 7538609760 is 679068357.

It is a super-2 number, since 2×7538609760² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 95425401 + ... + 95425479.

It is an arithmetic number, because the mean of its divisors is an integer number (48263040).

Almost surely, 2^7538609760 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 7538609760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13899755520).

7538609760 is an abundant number, since it is smaller than the sum of its proper divisors (20260901280).

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

7538609760 is a wasteful number, since it uses less digits than its factorization.

7538609760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The square root of 7538609760 is about 86825.1677798552. The cubic root of 7538609760 is about 1960.7870086720.

The spelling of 7538609760 in words is "seven billion, five hundred thirty-eight million, six hundred nine thousand, seven hundred sixty".