7964853248 has 176 divisors, whose sum is σ = 18481953600. Its totient is φ = 3395911680.

The previous prime is 7964853229. The next prime is 7964853263. The reversal of 7964853248 is 8423584697.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×7964853248² (a number of 21 digits) contains 22 as substring.

Its product of digits (11612160) is a multiple of the sum of its prime factors (756).

It is a junction number, because it is equal to n+sod(n) for n = 7964853193 and 7964853202.

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 15 ways as a sum of consecutive naturals, for example, 12085943 + ... + 12086601.

It is an arithmetic number, because the mean of its divisors is an integer number (105011100).

Almost surely, 2^7964853248 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 7964853248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9240976800).

7964853248 is an abundant number, since it is smaller than the sum of its proper divisors (10517100352).

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

7964853248 is a wasteful number, since it uses less digits than its factorization.

7964853248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 738 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 56.

The square root of 7964853248 is about 89246.0265109882. The cubic root of 7964853248 is about 1997.0668042845.

The spelling of 7964853248 in words is "seven billion, nine hundred sixty-four million, eight hundred fifty-three thousand, two hundred forty-eight".