61755942528 has 384 divisors, whose sum is σ = 209213521920. Its totient is φ = 17119807488.

The previous prime is 61755942527. The next prime is 61755942533. The reversal of 61755942528 is 82524955716.

61755942528 is a `hidden beast` number, since 6 + 1 + 7 + 5 + 594 + 25 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (61755942527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48133375 + ... + 48134657.

It is an arithmetic number, because the mean of its divisors is an integer number (544826880).

Almost surely, 2^61755942528 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 61755942528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104606760960).

61755942528 is an abundant number, since it is smaller than the sum of its proper divisors (147457579392).

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

61755942528 is a wasteful number, since it uses less digits than its factorization.

61755942528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1469 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 61755942528 in words is "sixty-one billion, seven hundred fifty-five million, nine hundred forty-two thousand, five hundred twenty-eight".