7963490304 has 576 divisors, whose sum is σ = 29763901440. Its totient is φ = 1990656000.

The previous prime is 7963490287. The next prime is 7963490321. The reversal of 7963490304 is 4030943697.

7963490304 is a `hidden beast` number, since 7 + 9 + 634 + 9 + 0 + 3 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (7963490287) and next prime (7963490321).

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 7963490304.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 43997094 + ... + 43997274.

It is an arithmetic number, because the mean of its divisors is an integer number (51673440).

Almost surely, 2^7963490304 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 7963490304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14881950720).

7963490304 is an abundant number, since it is smaller than the sum of its proper divisors (21800411136).

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

7963490304 is a wasteful number, since it uses less digits than its factorization.

7963490304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 7963490304 is about 89238.3903037252. The cubic root of 7963490304 is about 1996.9528852368.

The spelling of 7963490304 in words is "seven billion, nine hundred sixty-three million, four hundred ninety thousand, three hundred four".