7564128784 has 45 divisors (see below), whose sum is σ = 15580480557. Its totient is φ = 3556806912.

The previous prime is 7564128769. The next prime is 7564128787. The reversal of 7564128784 is 4878214657.

The square root of 7564128784 is 86972.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5889027600 + 1675101184 = 76740^2 + 40928^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7564128787) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5913457 + ... + 5914735.

Almost surely, 2^7564128784 is an apocalyptic number.

7564128784 is the 86972-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7564128784

7564128784 is an abundant number, since it is smaller than the sum of its proper divisors (8016351773).

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

7564128784 is an equidigital number, since it uses as much as digits as its factorization.

7564128784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600 (or 1298 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 52.

The cubic root of 7564128784 is about 1962.9970101442.

The spelling of 7564128784 in words is "seven billion, five hundred sixty-four million, one hundred twenty-eight thousand, seven hundred eighty-four".