7528767864 has 64 divisors (see below), whose sum is σ = 19400186880. Its totient is φ = 2433648000.

The previous prime is 7528767863. The next prime is 7528767887. The reversal of 7528767864 is 4687678257.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7528767798 and 7528767807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7528767863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67729 + ... + 140159.

It is an arithmetic number, because the mean of its divisors is an integer number (303127920).

Almost surely, 2^7528767864 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 7528767864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9700093440).

7528767864 is an abundant number, since it is smaller than the sum of its proper divisors (11871419016).

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

7528767864 is a wasteful number, since it uses less digits than its factorization.

7528767864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72572 (or 72568 counting only the distinct ones).

The product of its digits is 31610880, while the sum is 60.

The square root of 7528767864 is about 86768.4727536448. The cubic root of 7528767864 is about 1959.9333470323.

The spelling of 7528767864 in words is "seven billion, five hundred twenty-eight million, seven hundred sixty-seven thousand, eight hundred sixty-four".