61696180224 has 544 divisors, whose sum is σ = 221960874240. Its totient is φ = 16533946368.

The previous prime is 61696180219. The next prime is 61696180319. The reversal of 61696180224 is 42208169616.

61696180224 is a `hidden beast` number, since 6 + 1 + 6 + 9 + 618 + 0 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (544).

It is a self number, because there is not a number n which added to its sum of digits gives 61696180224.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 210567022 + ... + 210567314.

Almost surely, 2^61696180224 is an apocalyptic number.

61696180224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61696180224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110980437120).

61696180224 is an abundant number, since it is smaller than the sum of its proper divisors (160264694016).

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

61696180224 is an equidigital number, since it uses as much as digits as its factorization.

61696180224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 61696180224 in words is "sixty-one billion, six hundred ninety-six million, one hundred eighty thousand, two hundred twenty-four".