7963074144 has 48 divisors (see below), whose sum is σ = 23225635440. Its totient is φ = 2654357760.

The previous prime is 7963074131. The next prime is 7963074149. The reversal of 7963074144 is 4414703697.

7963074144 is a `hidden beast` number, since 7 + 9 + 630 + 7 + 4 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7963074144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7963074149) 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 7 ways as a sum of consecutive naturals, for example, 4607397 + ... + 4609124.

It is an arithmetic number, because the mean of its divisors is an integer number (483867405).

Almost surely, 2^7963074144 is an apocalyptic number.

It is an amenable number.

7963074144 is an abundant number, since it is smaller than the sum of its proper divisors (15262561296).

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

7963074144 is a wasteful number, since it uses less digits than its factorization.

7963074144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9216540 (or 9216526 counting only the distinct ones).

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

The square root of 7963074144 is about 89236.0585413766. The cubic root of 7963074144 is about 1996.9180987149.

The spelling of 7963074144 in words is "seven billion, nine hundred sixty-three million, seventy-four thousand, one hundred forty-four".