7824268764 has 96 divisors (see below), whose sum is σ = 21888041280. Its totient is φ = 2402784000.

The previous prime is 7824268757. The next prime is 7824268801. The reversal of 7824268764 is 4678624287.

It is a happy number.

7824268764 is a `hidden beast` number, since 7 + 82 + 426 + 87 + 64 = 666.

It is a super-2 number, since 2×7824268764² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 7824268764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 754414 + ... + 764714.

It is an arithmetic number, because the mean of its divisors is an integer number (228000430).

Almost surely, 2^7824268764 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 7824268764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10944020640).

7824268764 is an abundant number, since it is smaller than the sum of its proper divisors (14063772516).

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

7824268764 is a wasteful number, since it uses less digits than its factorization.

7824268764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10868 (or 10860 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The square root of 7824268764 is about 88454.8967779625. The cubic root of 7824268764 is about 1985.2471749846.

The spelling of 7824268764 in words is "seven billion, eight hundred twenty-four million, two hundred sixty-eight thousand, seven hundred sixty-four".