61868043564800 has 864 divisors, whose sum is σ = 189414116720640. Its totient is φ = 19728783360000.

The previous prime is 61868043564749. The next prime is 61868043564839. The reversal of 61868043564800 is 846534086816.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 61868043564800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 953676365 + ... + 953741235.

It is an arithmetic number, because the mean of its divisors is an integer number (219229301760).

Almost surely, 2^{61868043564800} 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 61868043564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94707058360320).

61868043564800 is an abundant number, since it is smaller than the sum of its proper divisors (127546073155840).

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

61868043564800 is a wasteful number, since it uses less digits than its factorization.

61868043564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64981 (or 64962 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 59.

The spelling of 61868043564800 in words is "sixty-one trillion, eight hundred sixty-eight billion, forty-three million, five hundred sixty-four thousand, eight hundred".