7503713640 has 224 divisors, whose sum is σ = 26804251080. Its totient is φ = 1883160576.

The previous prime is 7503713629. The next prime is 7503713641. The reversal of 7503713640 is 463173057.

7503713640 is a `hidden beast` number, since 7 + 5 + 0 + 3 + 7 + 1 + 3 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6996653316 + 507060324 = 83646^2 + 22518^2 .

It is a super-2 number, since 2×7503713640² (a number of 21 digits) contains 22 as substring.

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 = 7503713595 and 7503713604.

It is not an unprimeable number, because it can be changed into a prime (7503713641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 488152 + ... + 503288.

Almost surely, 2^7503713640 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 7503713640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13402125540).

7503713640 is an abundant number, since it is smaller than the sum of its proper divisors (19300537440).

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

7503713640 is a wasteful number, since it uses less digits than its factorization.

7503713640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15183 (or 15164 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 7503713640 is about 86623.9784355348. The cubic root of 7503713640 is about 1957.7568430323.

Adding to 7503713640 its reverse (463173057), we get a palindrome (7966886697).

The spelling of 7503713640 in words is "seven billion, five hundred three million, seven hundred thirteen thousand, six hundred forty".