7528645440 has 392 divisors, whose sum is σ = 27384634080. Its totient is φ = 1970002944.

The previous prime is 7528645433. The next prime is 7528645447. The reversal of 7528645440 is 445468257.

It is an interprime number because it is at equal distance from previous prime (7528645433) and next prime (7528645447).

It is a super-2 number, since 2×7528645440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7528645447) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13763247 + ... + 13763793.

Almost surely, 2^7528645440 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 7528645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13692317040).

7528645440 is an abundant number, since it is smaller than the sum of its proper divisors (19855988640).

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

7528645440 is an equidigital number, since it uses as much as digits as its factorization.

7528645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The square root of 7528645440 is about 86767.7672871672. The cubic root of 7528645440 is about 1959.9227235950.

The spelling of 7528645440 in words is "seven billion, five hundred twenty-eight million, six hundred forty-five thousand, four hundred forty".