7822239264 has 432 divisors, whose sum is σ = 27077633856. Its totient is φ = 2133734400.

The previous prime is 7822239253. The next prime is 7822239277. The reversal of 7822239264 is 4629322287.

It is a super-2 number, since 2×7822239264² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37072119 + ... + 37072329.

It is an arithmetic number, because the mean of its divisors is an integer number (62679708).

Almost surely, 2^7822239264 is an apocalyptic number.

7822239264 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7822239264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13538816928).

7822239264 is an abundant number, since it is smaller than the sum of its proper divisors (19255394592).

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

7822239264 is a wasteful number, since it uses less digits than its factorization.

7822239264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 331 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 7822239264 is about 88443.4240856832. The cubic root of 7822239264 is about 1985.0755121889.

The spelling of 7822239264 in words is "seven billion, eight hundred twenty-two million, two hundred thirty-nine thousand, two hundred sixty-four".