7521676240 has 120 divisors (see below), whose sum is σ = 18991161720. Its totient is φ = 2769242112.

The previous prime is 7521676237. The next prime is 7521676247. The reversal of 7521676240 is 426761257.

It can be written as a sum of positive squares in 12 ways, for example, as 898320784 + 6623355456 = 29972^2 + 81384^2 .

It is a super-2 number, since 2×7521676240² (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 a junction number, because it is equal to n+sod(n) for n = 7521676193 and 7521676202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7521676247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6881134 + ... + 6882226.

It is an arithmetic number, because the mean of its divisors is an integer number (158259681).

Almost surely, 2^7521676240 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 7521676240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9495580860).

7521676240 is an abundant number, since it is smaller than the sum of its proper divisors (11469485480).

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

7521676240 is a wasteful number, since it uses less digits than its factorization.

7521676240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 7521676240 is about 86727.5979143894. The cubic root of 7521676240 is about 1959.3177758912.

The spelling of 7521676240 in words is "seven billion, five hundred twenty-one million, six hundred seventy-six thousand, two hundred forty".