61868284800 has 384 divisors, whose sum is σ = 233563027200. Its totient is φ = 14100480000.

The previous prime is 61868284769. The next prime is 61868284801. The reversal of 61868284800 is 848286816.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×61868284800² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61868284801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 27483675 + ... + 27485925.

It is an arithmetic number, because the mean of its divisors is an integer number (608237050).

Almost surely, 2^61868284800 is an apocalyptic number.

61868284800 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 61868284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116781513600).

61868284800 is an abundant number, since it is smaller than the sum of its proper divisors (171694742400).

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

61868284800 is a wasteful number, since it uses less digits than its factorization.

61868284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2677 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The spelling of 61868284800 in words is "sixty-one billion, eight hundred sixty-eight million, two hundred eighty-four thousand, eight hundred".