61984028304 has 640 divisors, whose sum is σ = 216603279360. Its totient is φ = 16749158400.

The previous prime is 61984028303. The next prime is 61984028341. The reversal of 61984028304 is 40382048916.

It is a happy number.

61984028304 is a `hidden beast` number, since 619 + 8 + 4 + 0 + 28 + 3 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 61984028304.

It is not an unprimeable number, because it can be changed into a prime (61984028303) 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 127 ways as a sum of consecutive naturals, for example, 132727879 + ... + 132728345.

It is an arithmetic number, because the mean of its divisors is an integer number (338442624).

Almost surely, 2^61984028304 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 61984028304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108301639680).

61984028304 is an abundant number, since it is smaller than the sum of its proper divisors (154619251056).

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

61984028304 is a wasteful number, since it uses less digits than its factorization.

61984028304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 61984028304 in words is "sixty-one billion, nine hundred eighty-four million, twenty-eight thousand, three hundred four".