7523134080 has 512 divisors, whose sum is σ = 30184427520. Its totient is φ = 1548288000.

The previous prime is 7523134013. The next prime is 7523134081. The reversal of 7523134080 is 804313257.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (7523134081) by changing a digit.

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, 22323672 + ... + 22324008.

It is an arithmetic number, because the mean of its divisors is an integer number (58953960).

Almost surely, 2^7523134080 is an apocalyptic number.

7523134080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7523134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15092213760).

7523134080 is an abundant number, since it is smaller than the sum of its proper divisors (22661293440).

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

7523134080 is a wasteful number, since it uses less digits than its factorization.

7523134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 7523134080 is about 86736.0022136137. The cubic root of 7523134080 is about 1959.4443517242. Note that the first 3 decimals are identical.

The spelling of 7523134080 in words is "seven billion, five hundred twenty-three million, one hundred thirty-four thousand, eighty".