7849254336 has 336 divisors, whose sum is σ = 26741445120. Its totient is φ = 2008903680.

The previous prime is 7849254277. The next prime is 7849254349. The reversal of 7849254336 is 6334529487.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×7849254336² (a number of 21 digits) contains 22 as substring.

Its product of digits (4354560) is a multiple of the sum of its prime factors (1152).

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 47 ways as a sum of consecutive naturals, for example, 7554105 + ... + 7555143.

Almost surely, 2^7849254336 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 7849254336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13370722560).

7849254336 is an abundant number, since it is smaller than the sum of its proper divisors (18892190784).

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

7849254336 is a wasteful number, since it uses less digits than its factorization.

7849254336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1135 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 51.

The square root of 7849254336 is about 88596.0176080167. The cubic root of 7849254336 is about 1987.3581211486.

The spelling of 7849254336 in words is "seven billion, eight hundred forty-nine million, two hundred fifty-four thousand, three hundred thirty-six".