68861836800 has 480 divisors, whose sum is σ = 266084755200. Its totient is φ = 17395015680.

The previous prime is 68861836789. The next prime is 68861836817. The reversal of 68861836800 is 863816886.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 6561157 + ... + 6571643.

It is an arithmetic number, because the mean of its divisors is an integer number (554343240).

Almost surely, 2^68861836800 is an apocalyptic number.

68861836800 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 68861836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133042377600).

68861836800 is an abundant number, since it is smaller than the sum of its proper divisors (197222918400).

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

68861836800 is a wasteful number, since it uses less digits than its factorization.

68861836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10543 (or 10516 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 68861836800 in words is "sixty-eight billion, eight hundred sixty-one million, eight hundred thirty-six thousand, eight hundred".