3598664868864 has 1056 divisors, whose sum is σ = 12072680919936. Its totient is φ = 1063488061440.

The previous prime is 3598664868863. The next prime is 3598664868871. The reversal of 3598664868864 is 4688684668953.

3598664868864 is a `hidden beast` number, since 3 + 59 + 8 + 6 + 6 + 486 + 8 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (3598664868863) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 12806636404 + ... + 12806636684.

Almost surely, 2^{3598664868864} 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 3598664868864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6036340459968).

3598664868864 is an abundant number, since it is smaller than the sum of its proper divisors (8474016051072).

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

3598664868864 is a wasteful number, since it uses less digits than its factorization.

3598664868864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 443 counting only the distinct ones).

The product of its digits is 11466178560, while the sum is 81.

The spelling of 3598664868864 in words is "three trillion, five hundred ninety-eight billion, six hundred sixty-four million, eight hundred sixty-eight thousand, eight hundred sixty-four".