61684220448 has 72 divisors (see below), whose sum is σ = 178724253708. Its totient is φ = 20173450752.

The previous prime is 61684220417. The next prime is 61684220473. The reversal of 61684220448 is 84402248616.

61684220448 is a `hidden beast` number, since 6 + 168 + 42 + 2 + 0 + 448 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59627779344 + 2056441104 = 244188^2 + 45348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×61684220448² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2005315 + ... + 2035842.

Almost surely, 2^61684220448 is an apocalyptic number.

It is an amenable number.

61684220448 is an abundant number, since it is smaller than the sum of its proper divisors (117040033260).

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

61684220448 is a wasteful number, since it uses less digits than its factorization.

61684220448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4041226 (or 4041215 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 61684220448 in words is "sixty-one billion, six hundred eighty-four million, two hundred twenty thousand, four hundred forty-eight".