7526413440 has 768 divisors, whose sum is σ = 32559770880. Its totient is φ = 1559789568.

The previous prime is 7526413421. The next prime is 7526413457. The reversal of 7526413440 is 443146257.

7526413440 is a `hidden beast` number, since 7 + 5 + 2 + 641 + 3 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7526413395 and 7526413404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43505194 + ... + 43505366.

It is an arithmetic number, because the mean of its divisors is an integer number (42395535).

Almost surely, 2^7526413440 is an apocalyptic number.

7526413440 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 7526413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16279885440).

7526413440 is an abundant number, since it is smaller than the sum of its proper divisors (25033357440).

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

7526413440 is a wasteful number, since it uses less digits than its factorization.

7526413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 7526413440 is about 86754.9044146785. The cubic root of 7526413440 is about 1959.7290198745.

Adding to 7526413440 its reverse (443146257), we get a palindrome (7969559697).

The spelling of 7526413440 in words is "seven billion, five hundred twenty-six million, four hundred thirteen thousand, four hundred forty".