61443287686768 has 320 divisors, whose sum is σ = 139947292800000. Its totient is φ = 25889406935040.

The previous prime is 61443287686661. The next prime is 61443287686811. The reversal of 61443287686768 is 86768678234416.

It is a super-2 number, since 2×61443287686768² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (76).

It is a junction number, because it is equal to n+sod(n) for n = 61443287686694 and 61443287686703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4481960298 + ... + 4481974006.

It is an arithmetic number, because the mean of its divisors is an integer number (437335290000).

Almost surely, 2^{61443287686768} 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 61443287686768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69973646400000).

61443287686768 is an abundant number, since it is smaller than the sum of its proper divisors (78504005113232).

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

61443287686768 is a wasteful number, since it uses less digits than its factorization.

61443287686768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14128 (or 14122 counting only the distinct ones).

The product of its digits is 3121348608, while the sum is 76.

The spelling of 61443287686768 in words is "sixty-one trillion, four hundred forty-three billion, two hundred eighty-seven million, six hundred eighty-six thousand, seven hundred sixty-eight".