7524132880 has 80 divisors (see below), whose sum is σ = 19139400000. Its totient is φ = 2728097280.

The previous prime is 7524132839. The next prime is 7524132883. The reversal of 7524132880 is 882314257.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×7524132880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (7524132883) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 294871 + ... + 319369.

It is an arithmetic number, because the mean of its divisors is an integer number (239242500).

Almost surely, 2^7524132880 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 7524132880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9569700000).

7524132880 is an abundant number, since it is smaller than the sum of its proper divisors (11615267120).

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

7524132880 is a wasteful number, since it uses less digits than its factorization.

7524132880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24872 (or 24866 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 7524132880 is about 86741.7597239069. The cubic root of 7524132880 is about 1959.5310623244.

The spelling of 7524132880 in words is "seven billion, five hundred twenty-four million, one hundred thirty-two thousand, eight hundred eighty".