7949565144 has 192 divisors, whose sum is σ = 23416192800. Its totient is φ = 2430425088.

The previous prime is 7949565139. The next prime is 7949565149. The reversal of 7949565144 is 4415659497.

7949565144 is a `hidden beast` number, since 7 + 9 + 495 + 6 + 5 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (7949565139) and next prime (7949565149).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7949565149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3320812 + ... + 3323204.

Almost surely, 2^7949565144 is an apocalyptic number.

7949565144 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 7949565144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11708096400).

7949565144 is an abundant number, since it is smaller than the sum of its proper divisors (15466627656).

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

7949565144 is a wasteful number, since it uses less digits than its factorization.

7949565144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2507 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 7949565144 is about 89160.3339159292. Note that the first 3 decimals coincide. The cubic root of 7949565144 is about 1995.7882320648.

The spelling of 7949565144 in words is "seven billion, nine hundred forty-nine million, five hundred sixty-five thousand, one hundred forty-four".