61432584192 has 768 divisors, whose sum is σ = 220147200000. Its totient is φ = 16907304960.

The previous prime is 61432584167. The next prime is 61432584193. The reversal of 61432584192 is 29148523416.

61432584192 is a `hidden beast` number, since 61 + 4 + 3 + 2 + 584 + 1 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61432584193) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 777627609 + ... + 777627687.

It is an arithmetic number, because the mean of its divisors is an integer number (286650000).

Almost surely, 2^61432584192 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 61432584192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110073600000).

61432584192 is an abundant number, since it is smaller than the sum of its proper divisors (158714615808).

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

61432584192 is an equidigital number, since it uses as much as digits as its factorization.

61432584192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 132 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 61432584192 in words is "sixty-one billion, four hundred thirty-two million, five hundred eighty-four thousand, one hundred ninety-two".