7742319264 has 216 divisors, whose sum is σ = 23023613340. Its totient is φ = 2467418112.

The previous prime is 7742319251. The next prime is 7742319269. The reversal of 7742319264 is 4629132477.

7742319264 is a `hidden beast` number, since 7 + 74 + 2 + 319 + 264 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5562176400 + 2180142864 = 74580^2 + 46692^2 .

Its product of digits (508032) is a multiple of the sum of its prime divisors (384).

It is not an unprimeable number, because it can be changed into a prime (7742319269) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 28781722 + ... + 28781990.

Almost surely, 2^7742319264 is an apocalyptic number.

7742319264 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 7742319264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11511806670).

7742319264 is an abundant number, since it is smaller than the sum of its proper divisors (15281294076).

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

7742319264 is a wasteful number, since it uses less digits than its factorization.

7742319264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 384 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 7742319264 is about 87990.4498454236. The cubic root of 7742319264 is about 1978.2918356205.

The spelling of 7742319264 in words is "seven billion, seven hundred forty-two million, three hundred nineteen thousand, two hundred sixty-four".