598968664560 has 480 divisors, whose sum is σ = 2316786001920. Its totient is φ = 135846531072.

The previous prime is 598968664523. The next prime is 598968664667. The reversal of 598968664560 is 65466869895.

598968664560 is a `hidden beast` number, since 5 + 9 + 8 + 96 + 86 + 6 + 456 + 0 = 666.

It is a super-2 number, since 2×598968664560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 417981604 + ... + 417983036.

It is an arithmetic number, because the mean of its divisors is an integer number (4826637504).

Almost surely, 2^598968664560 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 598968664560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158393000960).

598968664560 is an abundant number, since it is smaller than the sum of its proper divisors (1717817337360).

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

598968664560 is a wasteful number, since it uses less digits than its factorization.

598968664560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 72.

The spelling of 598968664560 in words is "five hundred ninety-eight billion, nine hundred sixty-eight million, six hundred sixty-four thousand, five hundred sixty".