7828491264 has 352 divisors, whose sum is σ = 24406790400. Its totient is φ = 2205941760.

The previous prime is 7828491233. The next prime is 7828491277. The reversal of 7828491264 is 4621948287.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×7828491264² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57142204 + ... + 57142340.

Almost surely, 2^7828491264 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 7828491264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12203395200).

7828491264 is an abundant number, since it is smaller than the sum of its proper divisors (16578299136).

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

7828491264 is a wasteful number, since it uses less digits than its factorization.

7828491264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 261 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The square root of 7828491264 is about 88478.7616549870. The cubic root of 7828491264 is about 1985.6042349197.

The spelling of 7828491264 in words is "seven billion, eight hundred twenty-eight million, four hundred ninety-one thousand, two hundred sixty-four".