5964461568 has 600 divisors, whose sum is σ = 20658887568. Its totient is φ = 1707982848.

The previous prime is 5964461533. The next prime is 5964461603. The reversal of 5964461568 is 8651644695.

5964461568 is a `hidden beast` number, since 596 + 4 + 46 + 1 + 5 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5964461533) and next prime (5964461603).

It is a super-2 number, since 2×5964461568² = 71149603592298037248, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 161201646 + ... + 161201682.

Almost surely, 2^5964461568 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 5964461568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10329443784).

5964461568 is an abundant number, since it is smaller than the sum of its proper divisors (14694426000).

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

5964461568 is a wasteful number, since it uses less digits than its factorization.

5964461568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 78 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 5964461568 is about 77229.9266346926. The cubic root of 5964461568 is about 1813.5258407695.

The spelling of 5964461568 in words is "five billion, nine hundred sixty-four million, four hundred sixty-one thousand, five hundred sixty-eight".