5948654976 has 384 divisors, whose sum is σ = 20316441600. Its totient is φ = 1650585600.

The previous prime is 5948654953. The next prime is 5948654989. The reversal of 5948654976 is 6794568495.

5948654976 is a `hidden beast` number, since 5 + 9 + 4 + 86 + 549 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7463410 + ... + 7464206.

It is an arithmetic number, because the mean of its divisors is an integer number (52907400).

Almost surely, 2^5948654976 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 5948654976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10158220800).

5948654976 is an abundant number, since it is smaller than the sum of its proper divisors (14367786624).

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

5948654976 is a wasteful number, since it uses less digits than its factorization.

5948654976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 863 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The square root of 5948654976 is about 77127.5241142875. The cubic root of 5948654976 is about 1811.9223977409.

The spelling of 5948654976 in words is "five billion, nine hundred forty-eight million, six hundred fifty-four thousand, nine hundred seventy-six".