61756495331328 has 1536 divisors, whose sum is σ = 221017792020480. Its totient is φ = 16861015572480.

The previous prime is 61756495331299. The next prime is 61756495331383. The reversal of 61756495331328 is 82313359465716.

It is a happy number.

61756495331328 is a `hidden beast` number, since 6 + 1 + 7 + 5 + 6 + 495 + 3 + 3 + 132 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177972608851 + ... + 177972609197.

It is an arithmetic number, because the mean of its divisors is an integer number (143891791680).

Almost surely, 2^{61756495331328} 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 61756495331328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110508896010240).

61756495331328 is an abundant number, since it is smaller than the sum of its proper divisors (159261296689152).

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

61756495331328 is an equidigital number, since it uses as much as digits as its factorization.

61756495331328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 493 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 61756495331328 in words is "sixty-one trillion, seven hundred fifty-six billion, four hundred ninety-five million, three hundred thirty-one thousand, three hundred twenty-eight".