61824381678 has 64 divisors (see below), whose sum is σ = 145582272000. Its totient is φ = 19380799872.

The previous prime is 61824381673. The next prime is 61824381721. The reversal of 61824381678 is 87618342816.

61824381678 is a `hidden beast` number, since 61 + 82 + 438 + 1 + 6 + 78 = 666.

61824381678 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61824381673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1185313 + ... + 1236371.

It is an arithmetic number, because the mean of its divisors is an integer number (2274723000).

Almost surely, 2^61824381678 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61824381678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72791136000).

61824381678 is an abundant number, since it is smaller than the sum of its proper divisors (83757890322).

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

61824381678 is a wasteful number, since it uses less digits than its factorization.

61824381678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52406 (or 52400 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 61824381678 in words is "sixty-one billion, eight hundred twenty-four million, three hundred eighty-one thousand, six hundred seventy-eight".