7773248268 has 84 divisors (see below), whose sum is σ = 21282388848. Its totient is φ = 2478405600.

The previous prime is 7773248237. The next prime is 7773248279. The reversal of 7773248268 is 8628423777.

7773248268 is a `hidden beast` number, since 7 + 77 + 32 + 482 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 9118 + ... + 125018.

It is an arithmetic number, because the mean of its divisors is an integer number (253361772).

Almost surely, 2^7773248268 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 7773248268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10641194424).

7773248268 is an abundant number, since it is smaller than the sum of its proper divisors (13509140580).

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

7773248268 is a wasteful number, since it uses less digits than its factorization.

7773248268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115946 (or 115929 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 54.

The square root of 7773248268 is about 88166.0267223152. The cubic root of 7773248268 is about 1980.9226278642.

The spelling of 7773248268 in words is "seven billion, seven hundred seventy-three million, two hundred forty-eight thousand, two hundred sixty-eight".