5953442976 has 480 divisors, whose sum is σ = 21054116160. Its totient is φ = 1630347264.

The previous prime is 5953442969. The next prime is 5953442977. The reversal of 5953442976 is 6792443595.

5953442976 is a `hidden beast` number, since 5 + 9 + 5 + 344 + 297 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5953442977) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10883535 + ... + 10884081.

It is an arithmetic number, because the mean of its divisors is an integer number (43862742).

Almost surely, 2^5953442976 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 5953442976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10527058080).

5953442976 is an abundant number, since it is smaller than the sum of its proper divisors (15100673184).

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

5953442976 is a wasteful number, since it uses less digits than its factorization.

5953442976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 601 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The square root of 5953442976 is about 77158.5573737612. The cubic root of 5953442976 is about 1812.4083988015.

The spelling of 5953442976 in words is "five billion, nine hundred fifty-three million, four hundred forty-two thousand, nine hundred seventy-six".