61821735682752 has 224 divisors, whose sum is σ = 189694416038400. Its totient is φ = 19706286099456.

The previous prime is 61821735682741. The next prime is 61821735682771. The reversal of 61821735682752 is 25728653712816.

61821735682752 is a `hidden beast` number, since 6 + 1 + 8 + 2 + 1 + 7 + 356 + 8 + 275 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 61821735682752.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158343843 + ... + 158733789.

It is an arithmetic number, because the mean of its divisors is an integer number (846850071600).

Almost surely, 2^{61821735682752} 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 61821735682752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94847208019200).

61821735682752 is an abundant number, since it is smaller than the sum of its proper divisors (127872680355648).

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

61821735682752 is a wasteful number, since it uses less digits than its factorization.

61821735682752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393980 (or 393964 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 61821735682752 in words is "sixty-one trillion, eight hundred twenty-one billion, seven hundred thirty-five million, six hundred eighty-two thousand, seven hundred fifty-two".