7503680320 has 56 divisors (see below), whose sum is σ = 18919219464. Its totient is φ = 2824912896.

The previous prime is 7503680311. The next prime is 7503680329. The reversal of 7503680320 is 230863057.

It is an interprime number because it is at equal distance from previous prime (7503680311) and next prime (7503680329).

It can be written as a sum of positive squares in 4 ways, for example, as 3540726016 + 3962954304 = 59504^2 + 62952^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7503680329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 684237 + ... + 695116.

Almost surely, 2^7503680320 is an apocalyptic number.

It is an amenable number.

7503680320 is an abundant number, since it is smaller than the sum of its proper divisors (11415539144).

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

7503680320 is a wasteful number, since it uses less digits than its factorization.

7503680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379387 (or 1379377 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 7503680320 is about 86623.7861098209. The cubic root of 7503680320 is about 1957.7539452425.

The spelling of 7503680320 in words is "seven billion, five hundred three million, six hundred eighty thousand, three hundred twenty".