68598316800 has 1296 divisors, whose sum is σ = 285252055200. Its totient is φ = 16303472640.

The previous prime is 68598316793. The next prime is 68598316823. The reversal of 68598316800 is 861389586.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2365459186 + ... + 2365459214.

Almost surely, 2^68598316800 is an apocalyptic number.

68598316800 is a gapful number since it is divisible by the number (60) 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 68598316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142626027600).

68598316800 is an abundant number, since it is smaller than the sum of its proper divisors (216653738400).

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

68598316800 is an equidigital number, since it uses as much as digits as its factorization.

68598316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 68598316800 in words is "sixty-eight billion, five hundred ninety-eight million, three hundred sixteen thousand, eight hundred".