61304905728 has 560 divisors, whose sum is σ = 206100237024. Its totient is φ = 17995530240.

The previous prime is 61304905721. The next prime is 61304905729. The reversal of 61304905728 is 82750940316.

61304905728 is a `hidden beast` number, since 6 + 1 + 30 + 49 + 0 + 572 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (61304905721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 270065551 + ... + 270065777.

It is a 1-persistent number, because it is pandigital, but 2⋅61304905728 = 122609811456 is not.

Almost surely, 2^61304905728 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 61304905728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103050118512).

61304905728 is an abundant number, since it is smaller than the sum of its proper divisors (144795331296).

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

61304905728 is a wasteful number, since it uses less digits than its factorization.

61304905728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 61304905728 in words is "sixty-one billion, three hundred four million, nine hundred five thousand, seven hundred twenty-eight".