5968361664 has 224 divisors, whose sum is σ = 18138810560. Its totient is φ = 1922973696.

The previous prime is 5968361653. The next prime is 5968361699. The reversal of 5968361664 is 4661638695.

5968361664 is a `hidden beast` number, since 596 + 8 + 36 + 16 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5968361664.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17710104 + ... + 17710440.

Almost surely, 2^5968361664 is an apocalyptic number.

5968361664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5968361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9069405280).

5968361664 is an abundant number, since it is smaller than the sum of its proper divisors (12170448896).

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

5968361664 is a wasteful number, since it uses less digits than its factorization.

5968361664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 656 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 5968361664 is about 77255.1724093604. The cubic root of 5968361664 is about 1813.9210361961.

The spelling of 5968361664 in words is "five billion, nine hundred sixty-eight million, three hundred sixty-one thousand, six hundred sixty-four".